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Other Borrowed Funds (Details) (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Federal Home Loan Bank advances    
Balance at year end $ 1,073,944,000us-gaap_AdvancesFromFederalHomeLoanBanks $ 1,223,950,000us-gaap_AdvancesFromFederalHomeLoanBanks
Federal Home Loan Bank advances short-term    
Federal Home Loan Bank advances    
Balance at year end 1,067,700,000us-gaap_AdvancesFromFederalHomeLoanBanks
/ us-gaap_DebtInstrumentAxis
= us-gaap_ShortTermDebtMember
1,215,000,000us-gaap_AdvancesFromFederalHomeLoanBanks
/ us-gaap_DebtInstrumentAxis
= us-gaap_ShortTermDebtMember
Rate on balance outstanding at year end (as a percent) 0.15%us-gaap_FederalHomeLoanBankAdvancesActivityForYearAverageInterestRateAtPeriodEnd
/ us-gaap_DebtInstrumentAxis
= us-gaap_ShortTermDebtMember
0.17%us-gaap_FederalHomeLoanBankAdvancesActivityForYearAverageInterestRateAtPeriodEnd
/ us-gaap_DebtInstrumentAxis
= us-gaap_ShortTermDebtMember
Average daily balance 1,077,973,000us-gaap_FederalHomeLoanBankAdvancesActivityForYearAverageBalanceOfAgreementsOutstanding
/ us-gaap_DebtInstrumentAxis
= us-gaap_ShortTermDebtMember
833,868,000us-gaap_FederalHomeLoanBankAdvancesActivityForYearAverageBalanceOfAgreementsOutstanding
/ us-gaap_DebtInstrumentAxis
= us-gaap_ShortTermDebtMember
Average rate (as a percent) 0.16%us-gaap_FederalHomeLoanBankAdvancesActivityForYearAverageInterestRateForYear
/ us-gaap_DebtInstrumentAxis
= us-gaap_ShortTermDebtMember
0.16%us-gaap_FederalHomeLoanBankAdvancesActivityForYearAverageInterestRateForYear
/ us-gaap_DebtInstrumentAxis
= us-gaap_ShortTermDebtMember
Maximum amount outstanding at any month end 1,352,500,000us-gaap_FederalHomeLoanBankAdvancesActivityForYearMaximumOutstandingAtAnyMonthEnd
/ us-gaap_DebtInstrumentAxis
= us-gaap_ShortTermDebtMember
1,280,500,000us-gaap_FederalHomeLoanBankAdvancesActivityForYearMaximumOutstandingAtAnyMonthEnd
/ us-gaap_DebtInstrumentAxis
= us-gaap_ShortTermDebtMember
Federal Home Loan Bank advances long-term    
Federal Home Loan Bank advances    
Balance at year end 6,244,000us-gaap_AdvancesFromFederalHomeLoanBanks
/ us-gaap_DebtInstrumentAxis
= us-gaap_LongTermDebtMember
8,950,000us-gaap_AdvancesFromFederalHomeLoanBanks
/ us-gaap_DebtInstrumentAxis
= us-gaap_LongTermDebtMember
Rate on balance outstanding at year end (as a percent) 3.51%us-gaap_FederalHomeLoanBankAdvancesActivityForYearAverageInterestRateAtPeriodEnd
/ us-gaap_DebtInstrumentAxis
= us-gaap_LongTermDebtMember
3.53%us-gaap_FederalHomeLoanBankAdvancesActivityForYearAverageInterestRateAtPeriodEnd
/ us-gaap_DebtInstrumentAxis
= us-gaap_LongTermDebtMember
Average daily balance 7,338,000us-gaap_FederalHomeLoanBankAdvancesActivityForYearAverageBalanceOfAgreementsOutstanding
/ us-gaap_DebtInstrumentAxis
= us-gaap_LongTermDebtMember
7,289,000us-gaap_FederalHomeLoanBankAdvancesActivityForYearAverageBalanceOfAgreementsOutstanding
/ us-gaap_DebtInstrumentAxis
= us-gaap_LongTermDebtMember
Average rate (as a percent) 3.51%us-gaap_FederalHomeLoanBankAdvancesActivityForYearAverageInterestRateForYear
/ us-gaap_DebtInstrumentAxis
= us-gaap_LongTermDebtMember
3.53%us-gaap_FederalHomeLoanBankAdvancesActivityForYearAverageInterestRateForYear
/ us-gaap_DebtInstrumentAxis
= us-gaap_LongTermDebtMember
Maximum amount outstanding at any month end 8,934,000us-gaap_FederalHomeLoanBankAdvancesActivityForYearMaximumOutstandingAtAnyMonthEnd
/ us-gaap_DebtInstrumentAxis
= us-gaap_LongTermDebtMember
8,993,000us-gaap_FederalHomeLoanBankAdvancesActivityForYearMaximumOutstandingAtAnyMonthEnd
/ us-gaap_DebtInstrumentAxis
= us-gaap_LongTermDebtMember
Amortization of long-term advances for the next five years $ 160,000iboc_FederalHomeLoanBankAdvancesActivityForNextFiveYearsAmortization
/ us-gaap_DebtInstrumentAxis
= us-gaap_LongTermDebtMember
 
Period of amortization of long-term advances 5 years