102013124113131 has 16 divisors (see below), whose sum is σ = 169580258266368. Its totient is φ = 52993830708000.

The previous prime is 102013124113091. The next prime is 102013124113141. The reversal of 102013124113131 is 131311421310201.

It is a de Polignac number, because none of the positive numbers 2^k-102013124113131 is a prime.

It is a super-2 number, since 2×102013124113131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102013124113141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220807627720 + ... + 220807628181.

It is an arithmetic number, because the mean of its divisors is an integer number (10598766141648).

Almost surely, 2^{102013124113131} is an apocalyptic number.

102013124113131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102013124113131 is a deficient number, since it is larger than the sum of its proper divisors (67567134153237).

102013124113131 is a wasteful number, since it uses less digits than its factorization.

102013124113131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441615255922.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 102013124113131 its reverse (131311421310201), we get a palindrome (233324545423332).

The spelling of 102013124113131 in words is "one hundred two trillion, thirteen billion, one hundred twenty-four million, one hundred thirteen thousand, one hundred thirty-one".