100100312131 has 16 divisors (see below), whose sum is σ = 101916226944. Its totient is φ = 98299805184.

The previous prime is 100100312111. The next prime is 100100312141. The reversal of 100100312131 is 131213001001.

It is a cyclic number.

It is not a de Polignac number, because 100100312131 - 2²³ = 100091923523 is a prime.

It is a super-2 number, since 2×100100312131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100312111) 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, 29905800 + ... + 29909146.

It is an arithmetic number, because the mean of its divisors is an integer number (6369764184).

Almost surely, 2^100100312131 is an apocalyptic number.

100100312131 is a deficient number, since it is larger than the sum of its proper divisors (1815914813).

100100312131 is a wasteful number, since it uses less digits than its factorization.

100100312131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5490.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100100312131 its reverse (131213001001), we get a palindrome (231313313132).

The spelling of 100100312131 in words is "one hundred billion, one hundred million, three hundred twelve thousand, one hundred thirty-one".