100112864013 has 12 divisors (see below), whose sum is σ = 144610236160. Its totient is φ = 66740632776.

The previous prime is 100112864003. The next prime is 100112864029. The reversal of 100112864013 is 310468211001.

It is a happy number.

100112864013 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 2 + 8 + 640 + 13 = 666.

It is not a de Polignac number, because 100112864013 - 2¹⁰ = 100112862989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112864003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 772170 + ... + 892452.

Almost surely, 2^100112864013 is an apocalyptic number.

It is an amenable number.

100112864013 is a deficient number, since it is larger than the sum of its proper divisors (44497372147).

100112864013 is a wasteful number, since it uses less digits than its factorization.

100112864013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212768 (or 212765 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 100112864013 in words is "one hundred billion, one hundred twelve million, eight hundred sixty-four thousand, thirteen".