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Investment Securities (Details 2) (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Held-to-maturity debt securities amortized cost disclosures      
Due in one year or less, held-to-maturity debt securities amortized cost $ 1,075,000us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearNetCarryingAmount    
Due after one year through five years, held-to-maturity debt securities amortized cost 1,325,000us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsNetCarryingAmount    
Amortized cost, held-to-maturity debt securities 2,400,000us-gaap_HeldToMaturitySecurities 2,400,000us-gaap_HeldToMaturitySecurities  
Held-to-maturity debt securities, Estimated fair value disclosures      
Due in one year or less, held-to-maturity debt securities, Estimated fair value 1,075,000us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearFairValue    
Due after one year through five years, held-to-maturity debt securities, Estimated fair value 1,325,000us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue    
Estimated fair value 2,400,000us-gaap_HeldToMaturitySecuritiesFairValue 2,400,000us-gaap_HeldToMaturitySecuritiesFairValue  
Available-for-sale debt securities amortized cost disclosures      
Due after five years through ten years, available-for-sale debt securities amortized cost 735,000us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost    
Due after ten years, available-for-sale debt securities amortized cost 288,028,000us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost    
Residential mortgage-backed securities, amortized cost 4,597,590,000us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost    
Equity securities, amortized cost 28,075,000us-gaap_AvailableForSaleEquitySecuritiesAmortizedCostBasis    
Amortized cost, Available for sale securities 4,914,428,000us-gaap_AvailableForSaleSecuritiesAmortizedCost 5,372,594,000us-gaap_AvailableForSaleSecuritiesAmortizedCost  
Available for sale debt securities, Estimated Fair Value Disclosures      
Due after five years through ten years, available-for-sale debt securities, Estimated Fair Value 812,000us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue    
Due after ten years, available-for-sale debt securities, Estimated Fair Value 301,464,000us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue    
Residential mortgage-backed securities, Estimated Fair Value 4,600,372,000us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue    
Equity securities, Estimated Fair Value 29,315,000us-gaap_AvailableForSaleSecuritiesEquitySecurities    
Estimated fair value, Available for sale securities 4,931,963,000us-gaap_AvailableForSaleSecurities 5,304,579,000us-gaap_AvailableForSaleSecurities  
Amortized cost of available for sale investment securities pledged 2,182,579,000iboc_AvailableForSaleSecuritiesPledgedAsCollateralAmortizedCost    
Fair value of available for sale investment securities pledged 2,196,169,000us-gaap_AvailableForSaleSecuritiesPledgedAsCollateral    
Proceeds from sales and calls of available for sale securities 621,588,000us-gaap_ProceedsFromSaleOfAvailableForSaleSecurities 178,123,000us-gaap_ProceedsFromSaleOfAvailableForSaleSecurities 1,382,231,000us-gaap_ProceedsFromSaleOfAvailableForSaleSecurities
Proceeds from sales of mortgage-backed securities 620,933,000us-gaap_ProceedsFromSaleOfMortgageBackedSecuritiesMBSCategorizedAsAvailableForSale 177,623,000us-gaap_ProceedsFromSaleOfMortgageBackedSecuritiesMBSCategorizedAsAvailableForSale 1,338,723,000us-gaap_ProceedsFromSaleOfMortgageBackedSecuritiesMBSCategorizedAsAvailableForSale
Gross gains realized on sales 9,479,000us-gaap_AvailableForSaleSecuritiesGrossRealizedGains 9,601,000us-gaap_AvailableForSaleSecuritiesGrossRealizedGains 38,447,000us-gaap_AvailableForSaleSecuritiesGrossRealizedGains
Gross losses realized on sales 8,196,000us-gaap_AvailableForSaleSecuritiesGrossRealizedLosses 0us-gaap_AvailableForSaleSecuritiesGrossRealizedLosses 1,000us-gaap_AvailableForSaleSecuritiesGrossRealizedLosses
Impairment charges on available for sale securities 817,000us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet 1,374,000us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet 1,039,000us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
Impairment charges on available-for-sale investment securities, after tax $ 531,050iboc_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAfterTax $ 893,100iboc_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAfterTax $ 675,000iboc_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAfterTax