102131313102 has 128 divisors (see below), whose sum is σ = 291478763520. Its totient is φ = 25764583680.

The previous prime is 102131313091. The next prime is 102131313139. The reversal of 102131313102 is 201313131201.

102131313102 is a `hidden beast` number, since 10 + 213 + 131 + 310 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338799 + ... + 564842.

It is an arithmetic number, because the mean of its divisors is an integer number (2277177840).

Almost surely, 2^102131313102 is an apocalyptic number.

102131313102 is an abundant number, since it is smaller than the sum of its proper divisors (189347450418).

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

102131313102 is a wasteful number, since it uses less digits than its factorization.

102131313102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903695 (or 903689 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102131313102 its reverse (201313131201), we get a palindrome (303444444303).

The spelling of 102131313102 in words is "one hundred two billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred two".