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113031131213 = 711133110313533
BaseRepresentation
bin110100101000100101…
…1100011000001001101
3101210202100000101201002
41221101023203001031
53322441432144323
6123531545230045
711111005522460
oct1512113430115
9353670011632
10113031131213
1143a33143930
1219aa5a92325
13a874491280
1456839b12d7
152e1828a828
hex1a512e304d

113031131213 has 64 divisors (see below), whose sum is σ = 156853960704. Its totient is φ = 78579936000.

The previous prime is 113031131179. The next prime is 113031131221. The reversal of 113031131213 is 312131130311.

It is a cyclic number.

It is not a de Polignac number, because 113031131213 - 28 = 113031130957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113031131113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31991195 + ... + 31994727.

It is an arithmetic number, because the mean of its divisors is an integer number (2450843136).

Almost surely, 2113031131213 is an apocalyptic number.

113031131213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113031131213 is a deficient number, since it is larger than the sum of its proper divisors (43822829491).

113031131213 is a wasteful number, since it uses less digits than its factorization.

113031131213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4626.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 113031131213 its reverse (312131130311), we get a palindrome (425162261524).

The spelling of 113031131213 in words is "one hundred thirteen billion, thirty-one million, one hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 7 11 13 31 77 91 143 217 341 403 1001 1031 2387 2821 3533 4433 7217 11341 13403 24731 31031 31961 38863 45929 79387 93821 109523 147433 223727 272041 321503 351571 415493 505219 766661 1032031 1204753 1423799 2460997 2908451 3536533 3642523 4570423 8433271 9966593 15661789 25497661 31992961 40067753 47352799 109632523 112918213 280474271 331469593 520880789 790427491 1242100343 1467936769 3646165523 8694702401 10275557383 16147304459 113031131213