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131313120021332 = 221923293758333811
BaseRepresentation
bin11101110110110110110111…
…110111111000101101010100
3122012221102010002222212202222
4131312312313313320231110
5114202413232211140312
61143140225313121512
736442026345551204
oct3566666767705524
9565842102885688
10131313120021332
1138927643a20657
1212889442259298
135836a0a884b52
14245d835dd6404
15102ab5022c672
hex776db7df8b54

131313120021332 has 96 divisors (see below), whose sum is σ = 253312016670720. Its totient is φ = 59283929738880.

The previous prime is 131313120021277. The next prime is 131313120021337. The reversal of 131313120021332 is 233120021313131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313120021337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3883722707 + ... + 3883756517.

It is an arithmetic number, because the mean of its divisors is an integer number (2638666840320).

Almost surely, 2131313120021332 is an apocalyptic number.

It is an amenable number.

131313120021332 is a deficient number, since it is larger than the sum of its proper divisors (121998896649388).

131313120021332 is a wasteful number, since it uses less digits than its factorization.

131313120021332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41733 (or 41731 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 131313120021332 its reverse (233120021313131), we get a palindrome (364433141334463).

The spelling of 131313120021332 in words is "one hundred thirty-one trillion, three hundred thirteen billion, one hundred twenty million, twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 19 23 38 46 76 92 293 437 586 874 1172 1748 5567 6739 7583 11134 13478 15166 22268 26956 30332 33811 67622 128041 135244 144077 174409 256082 288154 348818 512164 576308 642409 697636 777653 1284818 1555306 2221819 2569636 3110612 3313771 4443638 6627542 8887276 9906623 13255084 14775407 19813246 29550814 39626492 42214561 51101837 59101628 84429122 102203674 168858244 188225837 204407348 227852329 256388813 376451674 455704658 512777626 752903348 911409316 970934903 1025555252 1941869806 3883739612 4329194251 4871387447 5896942699 8658388502 9742774894 11793885398 17316777004 19485549788 23587770796 75121922209 112041911281 150243844418 224083822562 300487688836 448167645124 1427316521971 1727804210807 2854633043942 3455608421614 5709266087884 6911216843228 32828280005333 65656560010666 131313120021332