102313133130132 has 36 divisors (see below), whose sum is σ = 268203562981536. Its totient is φ = 34104377709720.

The previous prime is 102313133130127. The next prime is 102313133130151. The reversal of 102313133130132 is 231031331313201.

102313133130132 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 1 + 313 + 313 + 0 + 1 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×102313133130132² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102313133130096 and 102313133130105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52630211544 + ... + 52630213487.

Almost surely, 2^{102313133130132} is an apocalyptic number.

102313133130132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102313133130132 is an abundant number, since it is smaller than the sum of its proper divisors (165890429851404).

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

102313133130132 is a wasteful number, since it uses less digits than its factorization.

102313133130132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105260425050 (or 105260425036 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 102313133130132 its reverse (231031331313201), we get a palindrome (333344464443333).

The spelling of 102313133130132 in words is "one hundred two trillion, three hundred thirteen billion, one hundred thirty-three million, one hundred thirty thousand, one hundred thirty-two".