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13130233132131 = 3223389412739511
BaseRepresentation
bin1011111100010001111011…
…1000011011010001100011
31201111020102112010010001200
42333010132320123101203
53210111204140212011
643531540144332243
72523425263065303
oct277043670332143
951436375103050
1013130233132131
114202556331505
121580888614083
13743238c47a4b
14335714459603
1517b832beb856
hexbf11ee1b463

13130233132131 has 48 divisors (see below), whose sum is σ = 19846681620480. Its totient is φ = 8349143204160.

The previous prime is 13130233132123. The next prime is 13130233132187. The reversal of 13130233132131 is 13123133203131.

13130233132131 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 2 + 331 + 321 + 3 + 1 = 666.

It is not a de Polignac number, because 13130233132131 - 23 = 13130233132123 is a prime.

It is a super-2 number, since 2×131302331321312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13130233132095 and 13130233132104.

It is not an unprimeable number, because it can be changed into a prime (13130233132931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332298666 + ... + 332338176.

It is an arithmetic number, because the mean of its divisors is an integer number (413472533760).

Almost surely, 213130233132131 is an apocalyptic number.

13130233132131 is a deficient number, since it is larger than the sum of its proper divisors (6716448488349).

13130233132131 is a wasteful number, since it uses less digits than its factorization.

13130233132131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44056 (or 44053 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13130233132131 its reverse (13123133203131), we get a palindrome (26253366335262).

The spelling of 13130233132131 in words is "thirteen trillion, one hundred thirty billion, two hundred thirty-three million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 23 69 207 389 1167 3501 4127 8947 12381 26841 37143 39511 80523 94921 118533 284763 355599 854289 908753 1605403 2726259 4816209 8178777 14448627 15369779 36924269 46109337 110772807 138328011 163061897 332318421 353504917 489185691 1060514751 1467557073 3181544253 3750423631 11251270893 33753812679 63431077933 190293233799 570879701397 1458914792459 4376744377377 13130233132131