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131313211111110 = 2357668839349177
BaseRepresentation
bin11101110110110110111101…
…010011010111011011000110
3122012221102100110101201110110
4131312312331103113123012
5114202413424021023420
61143140242325333450
736442031533033110
oct3566667523273306
9565842313351413
10131313211111110
1138927690386766
1212889468867286
135836a236c8b22
14245d8441483b0
15102ab58221ee0
hex776dbd4d76c6

131313211111110 has 64 divisors (see below), whose sum is σ = 360178802698752. Its totient is φ = 30013996283136.

The previous prime is 131313211111091. The next prime is 131313211111111. The reversal of 131313211111110 is 11111112313131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313211111111) 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, 9370842 + ... + 18720018.

It is an arithmetic number, because the mean of its divisors is an integer number (5627793792168).

Almost surely, 2131313211111110 is an apocalyptic number.

131313211111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131313211111110 is an abundant number, since it is smaller than the sum of its proper divisors (228865591587642).

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

131313211111110 is a wasteful number, since it uses less digits than its factorization.

131313211111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9416077.

The product of its (nonzero) digits is 54, while the sum is 21.

Adding to 131313211111110 its reverse (11111112313131), we get a palindrome (142424323424241).

The spelling of 131313211111110 in words is "one hundred thirty-one trillion, three hundred thirteen billion, two hundred eleven million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 66883 133766 200649 334415 401298 468181 668830 936362 1003245 1404543 2006490 2340905 2809086 4681810 7022715 9349177 14045430 18698354 28047531 46745885 56095062 65444239 93491770 130888478 140237655 196332717 280475310 327221195 392665434 654442390 981663585 1963327170 625301005291 1250602010582 1875903015873 3126505026455 3751806031746 4377107037037 6253010052910 8754214074074 9379515079365 13131321111111 18759030158730 21885535185185 26262642222222 43771070370370 65656605555555 131313211111110