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Fair Value (Details 3) (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Assets:    
Impaired Loans $ 65,551,000iboc_ImpairedFinancingReceivableRecordedInvestmentFairValueDisclosure $ 64,585,000iboc_ImpairedFinancingReceivableRecordedInvestmentFairValueDisclosure
Non-financial assets:    
Other real estate owned 69,872,000iboc_OtherRealEstateAndForeclosedAssetsInUse 85,879,000iboc_OtherRealEstateAndForeclosedAssetsInUse
Assumptions used in discounted cash flow model to determine fair value of investments classified within level 3    
Charges to allowance for probable loan losses in connection with other real estate owned 367,000iboc_AllowanceForLoanAndLeaseLossesPeriodIncreaseDecreaseLoansTransferredToOtherRealEstateOwned 402,000iboc_AllowanceForLoanAndLeaseLossesPeriodIncreaseDecreaseLoansTransferredToOtherRealEstateOwned
Adjustment to fair value in connection with other real estate owned 597,000iboc_AllowanceForLoanLeaseLossesWriteOffsPriorToForeclosure 1,204,000iboc_AllowanceForLoanLeaseLossesWriteOffsPriorToForeclosure
Impaired commercial collateral dependent loans 65,551,000iboc_ImpairedFinancingReceivableRecordedInvestmentFairValueDisclosure 64,585,000iboc_ImpairedFinancingReceivableRecordedInvestmentFairValueDisclosure
Impaired commercial collateral dependent receivables appraisals to determine fair value within immediately preceding twelve months 52,092,000iboc_ImpairedCommercialCollateralFinancingReceivableAppraisalsToDetermineFairValue 50,346,000iboc_ImpairedCommercialCollateralFinancingReceivableAppraisalsToDetermineFairValue
Impaired collateral dependent commercial loans with an internal evaluation completed in the last twelve months 5,307,000iboc_ImpairedCollateralDepndentCommercialLoansWithInternalEvaluationCompletedWithinLastTwelveMonths 0iboc_ImpairedCollateralDepndentCommercialLoansWithInternalEvaluationCompletedWithinLastTwelveMonths
Significant Unobservable Inputs (Level 3) | Bond meeting the original contract terms    
Assumptions used in discounted cash flow model to determine fair value of investments classified within level 3    
Minimum period of residential mortgage loan performance under original contract terms 24 months 24 months
Estimated future principal prepayment rate assumption, low end of range (as a percent) 7.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsFuturePrincipalPrepaymentRatesLowEndOfRange
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7.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsFuturePrincipalPrepaymentRatesLowEndOfRange
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Default rate assumptions (as a percent) 1.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsDefaultRates
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1.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsDefaultRates
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Loss severity rate assumptions, first year (as a percent) 25.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsLossSeverityRatesForFirstYear
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25.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsLossSeverityRatesForFirstYear
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Estimated future principal prepayment rate assumption, discount rate (as a percent) 13.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsFuturePrincipalPrepaymentDiscountRate
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13.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsFuturePrincipalPrepaymentDiscountRate
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Significant Unobservable Inputs (Level 3) | Bond not meeting the original contract terms    
Assumptions used in discounted cash flow model to determine fair value of investments classified within level 3    
Estimated future principal prepayment rate assumption, low end of range (as a percent) 2.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsFuturePrincipalPrepaymentRatesLowEndOfRange
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2.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsFuturePrincipalPrepaymentRatesLowEndOfRange
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Default rate assumptions (as a percent) 4.50%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsDefaultRates
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4.50%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsDefaultRates
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Loss severity rate assumptions, first year (as a percent) 60.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsLossSeverityRatesForFirstYear
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60.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsLossSeverityRatesForFirstYear
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Decrease in loss severity rates, following five years (as a percent) 5.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsDeclineInLossSeverityRatesForFollowingFifthYear
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5.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsDeclineInLossSeverityRatesForFollowingFifthYear
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Loss severity rate, thereafter (as a percent) 25.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsLossSeverityRatesThereafter
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25.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsLossSeverityRatesThereafter
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Estimated future principal prepayment rate assumption, discount rate (as a percent) 13.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsFuturePrincipalPrepaymentDiscountRate
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13.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsFuturePrincipalPrepaymentDiscountRate
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Measured on a non-recurring basis:    
Assumptions used in discounted cash flow model to determine fair value of investments classified within level 3    
Change in net provision, impaired loans (1,557,000)iboc_ChangeInProvisionOfImpairedFinancingReceivableFairValueDisclosure
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13,229,000iboc_ChangeInProvisionOfImpairedFinancingReceivableFairValueDisclosure
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Change in net provision, other real estate owned 597,000iboc_ChangeInProvisionOfOtherRealEstateAndForeclosedAssetsInUse
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1,204,000iboc_ChangeInProvisionOfOtherRealEstateAndForeclosedAssetsInUse
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Measured on a non-recurring basis: | Assets/Liabilities Measured at Fair Value    
Assets:    
Impaired Loans 29,501,000iboc_ImpairedFinancingReceivableRecordedInvestmentFairValueDisclosure
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28,391,000iboc_ImpairedFinancingReceivableRecordedInvestmentFairValueDisclosure
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Non-financial assets:    
Other real estate owned 6,112,000iboc_OtherRealEstateAndForeclosedAssetsInUse
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16,329,000iboc_OtherRealEstateAndForeclosedAssetsInUse
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Assumptions used in discounted cash flow model to determine fair value of investments classified within level 3    
Impaired commercial collateral dependent loans 29,501,000iboc_ImpairedFinancingReceivableRecordedInvestmentFairValueDisclosure
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28,391,000iboc_ImpairedFinancingReceivableRecordedInvestmentFairValueDisclosure
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Measured on a non-recurring basis: | Significant Unobservable Inputs (Level 3)    
Assets:    
Impaired Loans 29,501,000iboc_ImpairedFinancingReceivableRecordedInvestmentFairValueDisclosure
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28,391,000iboc_ImpairedFinancingReceivableRecordedInvestmentFairValueDisclosure
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Non-financial assets:    
Other real estate owned 6,112,000iboc_OtherRealEstateAndForeclosedAssetsInUse
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16,329,000iboc_OtherRealEstateAndForeclosedAssetsInUse
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Assumptions used in discounted cash flow model to determine fair value of investments classified within level 3    
Impaired commercial collateral dependent loans $ 29,501,000iboc_ImpairedFinancingReceivableRecordedInvestmentFairValueDisclosure
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$ 28,391,000iboc_ImpairedFinancingReceivableRecordedInvestmentFairValueDisclosure
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