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International Bancshares Corporation (Parent Company Only) Financial Information Statements of Cash Flows (Details) - USD ($)
 12 Months Ended
Sep. 19, 2018
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Operating activities:        
Net income   $ 205,104,000 $ 215,931,000 $ 157,436,000
Adjustments to reconcile net income to net cash provided by operating activities:        
Investment securities transactions, net   12,000 141,000 4,774,000
Unrealized (gain) loss on equity securities with readily determinable fair values   (158,000) 388,000  
Stock compensation expense   980,000 1,035,000 903,000
Decrease in other liabilities   32,157,000 24,916,000 592,000
Net cash provided by operating activities   311,565,000 229,847,000 196,819,000
Investing activities:        
Net cash (used in) provided by investing activities   (318,058,000) 379,440,000 (403,807,000)
Financing activities:        
Redemption of long-term debt   (25,774,000)    
Proceeds from stock transactions   1,923,000 1,522,000 1,455,000
Payments of cash dividends - common   (68,670,000) (49,599,000) (43,594,000)
Repurchase of outstanding common stock warrant $ (29,005,000)   (29,005,000)  
Purchase of treasury stock   (17,845,000) (19,042,000) (187,000)
Net cash (used in) provided by financing activities   (53,484,000) (557,847,000) 203,147,000
(Decrease) increase in cash and cash equivalents   (59,977,000) 51,440,000 (3,841,000)
Cash and cash equivalents at beginning of period   316,797,000 265,357,000 269,198,000
Cash and cash equivalents at end of period   256,820,000 316,797,000 265,357,000
Parent Company | Reportable Legal Entities        
Operating activities:        
Net income   205,104,000 215,931,000 157,436,000
Adjustments to reconcile net income to net cash provided by operating activities:        
Investment securities transactions, net       (23,000)
Unrealized (gain) loss on equity securities with readily determinable fair values   (16,000) 330,000  
Stock compensation expense   980,000 1,035,000 903,000
Decrease in other liabilities   (58,000) (1,479,000) (3,453,000)
Equity in undistributed net income of subsidiaries   (84,234,000) (111,135,000) (93,674,000)
Net cash provided by operating activities   121,776,000 104,682,000 61,189,000
Investing activities:        
Principal collected on mortgage-backed securities       6,328,000
Net increase in notes receivable   (12,100,000)    
(Decrease) increase in other assets and other investments   5,915,000 (7,891,000) (25,348,000)
Net cash (used in) provided by investing activities   (6,185,000) (7,891,000) (19,020,000)
Financing activities:        
Redemption of long-term debt   (25,774,000)    
Proceeds from stock transactions   1,923,000 1,522,000 1,455,000
Payments of cash dividends - common   (68,670,000) (49,599,000) (43,594,000)
Repurchase of outstanding common stock warrant     (29,005,000)  
Purchase of treasury stock   (17,845,000) (19,042,000) (187,000)
Net cash (used in) provided by financing activities   (110,366,000) (96,124,000) (42,326,000)
(Decrease) increase in cash and cash equivalents   5,225,000 667,000 (157,000)
Cash and cash equivalents at beginning of period   19,065,000 18,398,000 18,555,000
Cash and cash equivalents at end of period   $ 24,290,000 $ 19,065,000 $ 18,398,000