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Investment Securities (Details 2) (USD $)
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Dec. 31, 2014
Held-to-maturity debt securities amortized cost disclosures      
Due after one year through five years, held-to-maturity debt securities amortized cost $ 2,400,000us-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 after one year through five years, held-to-maturity debt securities, Estimated fair value 2,400,000us-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 742,000us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost    
Due after ten years, available-for-sale debt securities amortized cost 282,875,000us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost    
Residential mortgage-backed securities, amortized cost 4,624,803,000us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost    
Equity securities, amortized cost 28,075,000us-gaap_AvailableForSaleEquitySecuritiesAmortizedCostBasis    
Amortized cost, Available for sale securities 4,936,495,000us-gaap_AvailableForSaleSecuritiesAmortizedCost   4,914,428,000us-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 830,000us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue    
Due after ten years, available-for-sale debt securities, Estimated Fair Value 296,924,000us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue    
Residential mortgage-backed securities, Estimated Fair Value 4,660,607,000us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue    
Equity securities, Estimated Fair Value 29,819,000us-gaap_AvailableForSaleSecuritiesEquitySecurities    
Estimated fair value, Available for sale securities 4,988,180,000us-gaap_AvailableForSaleSecurities   4,931,963,000us-gaap_AvailableForSaleSecurities
Amortized cost of available for sale investment securities pledged 2,302,935,000iboc_AvailableForSaleSecuritiesPledgedAsCollateralAmortizedCost    
Fair value of available for sale investment securities pledged 2,329,855,000us-gaap_AvailableForSaleSecuritiesPledgedAsCollateral    
Proceeds from sales and calls of available for sale securities 6,290,000us-gaap_ProceedsFromSaleOfAvailableForSaleSecurities 258,277,000us-gaap_ProceedsFromSaleOfAvailableForSaleSecurities  
Proceeds from sales of mortgage-backed securities 0us-gaap_ProceedsFromSaleOfMortgageBackedSecuritiesMBSCategorizedAsAvailableForSale 257,621,000us-gaap_ProceedsFromSaleOfMortgageBackedSecuritiesMBSCategorizedAsAvailableForSale  
Gross gains realized on sales 0us-gaap_AvailableForSaleSecuritiesGrossRealizedGains 8,108,000us-gaap_AvailableForSaleSecuritiesGrossRealizedGains  
Gross losses realized on sales (1,000)us-gaap_AvailableForSaleSecuritiesGrossRealizedLosses 0us-gaap_AvailableForSaleSecuritiesGrossRealizedLosses  
Impairment charges on available-for-sale investment securities 227,000us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet 90,000us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet  
Impairment charges on available-for-sale investment securities, after tax $ 147,550iboc_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAfterTax $ 58,500iboc_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAfterTax