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131403300321321 = 3274371683185939
BaseRepresentation
bin11101111000001010110111…
…000010011011100000101001
3122020021000212221010202222200
4131320022313002123200221
5114210402424340240241
61143245502014010413
736451401164502540
oct3570126702334051
9566230787122880
10131403300321321
11389619103997a6
12128a2a0b4a6a09
13584237cb546c2
142463d4cc29157
15102d17c3214b6
hex7782b709b829

131403300321321 has 48 divisors (see below), whose sum is σ = 225090638023680. Its totient is φ = 72308399677920.

The previous prime is 131403300321299. The next prime is 131403300321331. The reversal of 131403300321321 is 123123003304131.

131403300321321 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 3 + 300 + 32 + 1 + 321 = 666.

It is not a de Polignac number, because 131403300321321 - 211 = 131403300319273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131403300321331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341400631 + ... + 341785308.

It is an arithmetic number, because the mean of its divisors is an integer number (4689388292160).

Almost surely, 2131403300321321 is an apocalyptic number.

It is an amenable number.

131403300321321 is a deficient number, since it is larger than the sum of its proper divisors (93687337702359).

131403300321321 is a wasteful number, since it uses less digits than its factorization.

131403300321321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683186066 (or 683186063 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131403300321321 its reverse (123123003304131), we get a palindrome (254526303625452).

The spelling of 131403300321321 in words is "one hundred thirty-one trillion, four hundred three billion, three hundred million, three hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 43 63 71 129 213 301 387 497 639 903 1491 2709 3053 4473 9159 21371 27477 64113 192339 683185939 2049557817 4782301573 6148673451 14346904719 29376995377 43040714157 48506201669 88130986131 145518605007 205638967639 264392958393 339543411683 436555815021 616916902917 1018630235049 1850750708751 2085766671767 3055890705147 6257300015301 14600366702369 18771900045903 43801100107107 131403300321321