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Consolidated Statements of Cash Flows (USD $)
 3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Operating activities:    
Net income $ 35,862,000us-gaap_NetIncomeLoss $ 43,646,000us-gaap_NetIncomeLoss
Adjustments to reconcile net income to net cash provided by operating activities:    
Provision for probable loan losses 2,377,000us-gaap_ProvisionForLoanAndLeaseLosses 2,078,000us-gaap_ProvisionForLoanAndLeaseLosses
Specific reserve, other real estate owned   138,000us-gaap_OtherRealEstateCoveredValuationAdjustments
Depreciation of bank premises and equipment 6,226,000us-gaap_DepreciationNonproduction 6,092,000us-gaap_DepreciationNonproduction
Gain on sale of bank premises and equipment (91,000)us-gaap_GainLossOnSaleOfPropertyPlantEquipment (2,956,000)us-gaap_GainLossOnSaleOfPropertyPlantEquipment
Gain on sale of other real estate owned (28,000)us-gaap_GainsLossesOnSalesOfOtherRealEstate (233,000)us-gaap_GainsLossesOnSalesOfOtherRealEstate
Accretion of investment securities discounts (444,000)iboc_AccretionOfDiscountsInvestments (1,274,000)iboc_AccretionOfDiscountsInvestments
Amortization of investment securities premiums 7,217,000iboc_AmortizationOfInvestmentSecuritiesPremiums 6,765,000iboc_AmortizationOfInvestmentSecuritiesPremiums
Investment securities transactions, net 1,000us-gaap_GainLossOnSaleOfSecuritiesNet (8,108,000)us-gaap_GainLossOnSaleOfSecuritiesNet
Impairment charges on available-for-sale investment securities 227,000us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet 90,000us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
Amortization of identified intangible assets 119,000us-gaap_AmortizationOfIntangibleAssets 981,000us-gaap_AmortizationOfIntangibleAssets
Stock based compensation expense 292,000us-gaap_ShareBasedCompensation 161,000us-gaap_ShareBasedCompensation
Earnings from affiliates and other investments (3,286,000)us-gaap_IncomeLossFromEquityMethodInvestments (3,109,000)us-gaap_IncomeLossFromEquityMethodInvestments
Deferred tax benefit (1,415,000)us-gaap_DeferredIncomeTaxExpenseBenefit (1,666,000)us-gaap_DeferredIncomeTaxExpenseBenefit
Decrease in accrued interest receivable 1,134,000us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet 2,345,000us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet
Net decrease (increase) in other assets 1,273,000us-gaap_IncreaseDecreaseInOtherOperatingAssets (365,000)us-gaap_IncreaseDecreaseInOtherOperatingAssets
Net increase in other liabilities 17,319,000us-gaap_IncreaseDecreaseInOtherOperatingLiabilities 16,630,000us-gaap_IncreaseDecreaseInOtherOperatingLiabilities
Net cash provided by operating activities 66,783,000us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations 61,215,000us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations
Investing activities:    
Proceeds from maturities of securities 1,075,000us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfOtherInvestments  
Proceeds from sales and calls of available for sale securities 6,290,000us-gaap_ProceedsFromSaleOfAvailableForSaleSecurities 258,277,000us-gaap_ProceedsFromSaleOfAvailableForSaleSecurities
Purchases of available for sale securities (238,290,000)us-gaap_PaymentsToAcquireAvailableForSaleSecurities (310,921,000)us-gaap_PaymentsToAcquireAvailableForSaleSecurities
Principal collected on mortgage-backed securities 201,856,000us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities 171,405,000us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities
Net increase in loans (102,699,000)us-gaap_PaymentsForProceedsFromLoansAndLeases (88,610,000)us-gaap_PaymentsForProceedsFromLoansAndLeases
Purchases of other investments (550,000)us-gaap_PaymentsToAcquireOtherInvestments (681,000)us-gaap_PaymentsToAcquireOtherInvestments
Distributions of other investments 343,000iboc_DistributionsFromOtherInvestments 10,281,000iboc_DistributionsFromOtherInvestments
Purchases of bank premises and equipment (7,806,000)us-gaap_PaymentsToAcquirePropertyPlantAndEquipment (14,436,000)us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
Proceeds from sales of other real estate owned 3,831,000us-gaap_ProceedsFromSaleOfOtherRealEstate 5,559,000us-gaap_ProceedsFromSaleOfOtherRealEstate
Proceeds from sales of bank premises and equipment 744,000us-gaap_ProceedsFromSaleOfPropertyPlantAndEquipment 3,298,000us-gaap_ProceedsFromSaleOfPropertyPlantAndEquipment
Net cash (used in) provided by investing activities (135,206,000)us-gaap_NetCashProvidedByUsedInInvestingActivitiesContinuingOperations 34,172,000us-gaap_NetCashProvidedByUsedInInvestingActivitiesContinuingOperations
Financing activities:    
Net increase in non-interest bearing demand deposits 108,597,000iboc_IncreaseDecreaseInNoninterestBearingDemandDeposits 163,485,000iboc_IncreaseDecreaseInNoninterestBearingDemandDeposits
Net increase in savings and interest bearing demand deposits 113,714,000iboc_IncreaseDecreaseInSavingAndInterestBearingDemandDeposits 40,450,000iboc_IncreaseDecreaseInSavingAndInterestBearingDemandDeposits
Net decrease in time deposits (12,014,000)us-gaap_IncreaseDecreaseInTimeDeposits (11,117,000)us-gaap_IncreaseDecreaseInTimeDeposits
Net increase (decrease) in securities sold under repurchase agreements 15,055,000us-gaap_ProceedsFromPaymentsForInSecuritiesSoldUnderAgreementsToRepurchase (120,211,000)us-gaap_ProceedsFromPaymentsForInSecuritiesSoldUnderAgreementsToRepurchase
Net decrease in other borrowed funds (132,487,000)us-gaap_IncreaseDecreaseInLoansFromOtherFederalHomeLoanBanks (75,547,000)us-gaap_IncreaseDecreaseInLoansFromOtherFederalHomeLoanBanks
Redemption of long-term debt   (10,310,000)us-gaap_RepaymentsOfLongTermDebt
Purchase of treasury stock (1,245,000)us-gaap_PaymentsForRepurchaseOfCommonStock (5,755,000)us-gaap_PaymentsForRepurchaseOfCommonStock
Proceeds from stock transactions 53,000us-gaap_ProceedsFromIssuanceOrSaleOfEquity 120,000us-gaap_ProceedsFromIssuanceOrSaleOfEquity
Net cash provided by (used in) financing activities 91,673,000us-gaap_NetCashProvidedByUsedInFinancingActivitiesContinuingOperations (18,885,000)us-gaap_NetCashProvidedByUsedInFinancingActivitiesContinuingOperations
Increase in cash and cash equivalents 23,250,000us-gaap_NetCashProvidedByUsedInContinuingOperations 76,502,000us-gaap_NetCashProvidedByUsedInContinuingOperations
Cash and cash equivalents at beginning of period 255,146,000us-gaap_CashAndCashEquivalentsAtCarryingValue 274,785,000us-gaap_CashAndCashEquivalentsAtCarryingValue
Cash and cash equivalents at end of period 278,396,000us-gaap_CashAndCashEquivalentsAtCarryingValue 351,287,000us-gaap_CashAndCashEquivalentsAtCarryingValue
Supplemental cash flow information:    
Interest paid 11,549,000us-gaap_InterestPaid 12,594,000us-gaap_InterestPaid
Income taxes paid 50,000us-gaap_IncomeTaxesPaid 5,652,000us-gaap_IncomeTaxesPaid
Non-cash investing and financing activities:    
Dividends declared, not yet paid 19,258,000us-gaap_DividendsPayableCurrentAndNoncurrent 16,741,000us-gaap_DividendsPayableCurrentAndNoncurrent
Net transfers from loans to other real estate owned 2,248,000us-gaap_TransferOfOtherRealEstate 486,000us-gaap_TransferOfOtherRealEstate
Purchases of available-for-sale securities not yet settled   $ 3,079,000iboc_InvestmentSecuritiesPurchasesNotYetSettled