102013012331131 has 32 divisors (see below), whose sum is σ = 118436955840000. Its totient is φ = 86836729351680.

The previous prime is 102013012331123. The next prime is 102013012331203. The reversal of 102013012331131 is 131133210310201.

It is not a de Polignac number, because 102013012331131 - 2³ = 102013012331123 is a prime.

It is a super-2 number, since 2×102013012331131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102013012331731) 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, 394812420 + ... + 395070718.

It is an arithmetic number, because the mean of its divisors is an integer number (3701154870000).

Almost surely, 2^{102013012331131} is an apocalyptic number.

102013012331131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102013012331131 is a deficient number, since it is larger than the sum of its proper divisors (16423943508869).

102013012331131 is a wasteful number, since it uses less digits than its factorization.

102013012331131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269139.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 102013012331131 its reverse (131133210310201), we get a palindrome (233146222641332).

The spelling of 102013012331131 in words is "one hundred two trillion, thirteen billion, twelve million, three hundred thirty-one thousand, one hundred thirty-one".