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131331012133332 = 2231183109109973683
BaseRepresentation
bin11101110111000111100010…
…010100111000000111010100
3122020000010022001011100021210
4131313013202110320013110
5114203211403101231312
61143152344543141420
736443231624156064
oct3567074224700724
9566003261140253
10131331012133332
1138934195614180
12128909b62a4870
1358385cc63c47b
14246065237b3a4
15102b34adc3e3c
hex7771e25381d4

131331012133332 has 96 divisors (see below), whose sum is σ = 341428698293760. Its totient is φ = 38957077111680.

The previous prime is 131331012133297. The next prime is 131331012133337. The reversal of 131331012133332 is 233331210133131.

It is a self number, because there is not a number n which added to its sum of digits gives 131331012133332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131331012133337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53792638 + ... + 56181045.

It is an arithmetic number, because the mean of its divisors is an integer number (3556548940560).

Almost surely, 2131331012133332 is an apocalyptic number.

131331012133332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131331012133332 is an abundant number, since it is smaller than the sum of its proper divisors (210097686160428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131331012133332 is a wasteful number, since it uses less digits than its factorization.

131331012133332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109973893 (or 109973891 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 30.

Adding to 131331012133332 its reverse (233331210133131), we get a palindrome (364662222266463).

The spelling of 131331012133332 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, twelve million, one hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 109 132 166 218 249 327 332 436 498 654 913 996 1199 1308 1826 2398 2739 3597 3652 4796 5478 7194 9047 10956 14388 18094 27141 36188 54282 99517 108564 199034 298551 398068 597102 1194204 109973683 219947366 329921049 439894732 659842098 1209710513 1319684196 2419421026 3629131539 4838842052 7258263078 9127815689 11987131447 14516526156 18255631378 23974262894 27383447067 35961394341 36511262756 47948525788 54766894134 71922788682 100405972579 109533788268 131858445917 143845577364 200811945158 263716891834 301217917737 395575337751 401623890316 527433783668 602435835474 791150675502 994931910101 1204871670948 1582301351004 1989863820202 2984795730303 3979727640404 5969591460606 10944251011111 11939182921212 21888502022222 32832753033333 43777004044444 65665506066666 131331012133332