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Common Stock and Dividends (Details) (USD $)
0 Months Ended 3 Months Ended
Apr. 17, 2015
Apr. 09, 2015
Oct. 15, 2014
Apr. 18, 2014
Mar. 31, 2015
May 01, 2015
Apr. 09, 2015
Common Stock and Dividends              
Series A cumulative perpetual preferred shares, outstanding         216,000us-gaap_PreferredStockSharesOutstanding    
Warrants to purchase entity's common stock (in shares)         1,326,238us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights    
Warrants, exercise price (in dollars per share)         $ 24.43us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1    
Percentage of aggregate common stock investment on exercise of warrant to Senior Preferred Stock investment         15.00%iboc_AggregateCommonStockInvestmentAsPercentageOfSeniorPreferredStockInvestmentOnExerciseOfWarrants    
Warrants, term         10 years    
Cash dividends (as a percent)         33.00%iboc_MaximumPercentageOfCashDividendsInExcess    
Cash dividends paid to common shareholders (in dollars per share) $ 0.29us-gaap_CommonStockDividendsPerShareCashPaid   $ 0.27us-gaap_CommonStockDividendsPerShareCashPaid $ 0.25us-gaap_CommonStockDividendsPerShareCashPaid      
Repurchase of common stock, authorized amount         $ 40,000,000us-gaap_StockRepurchaseProgramAuthorizedAmount1   $ 40,000,000us-gaap_StockRepurchaseProgramAuthorizedAmount1
Period of repurchase of common stock   12 months     12 months    
Cumulative number of shares repurchased under all stock repurchase programs           8,684,680iboc_StockRepurchaseProgramCumulativeSharesRepurchased  
Cumulative cost of shares repurchased under all stock repurchase programs           $ 257,704,000iboc_StockRepurchaseProgramCumulativeCostOfSharesRepurchased