100013300031 has 16 divisors (see below), whose sum is σ = 137267187200. Its totient is φ = 64725684768.

The previous prime is 100013299951. The next prime is 100013300033. The reversal of 100013300031 is 130003310001.

It is not a de Polignac number, because 100013300031 - 2²⁵ = 99979745599 is a prime.

It is a super-2 number, since 2×100013300031² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013300033) 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, 977491 + ... + 1074948.

It is an arithmetic number, because the mean of its divisors is an integer number (8579199200).

Almost surely, 2^100013300031 is an apocalyptic number.

100013300031 is a deficient number, since it is larger than the sum of its proper divisors (37253887169).

100013300031 is a wasteful number, since it uses less digits than its factorization.

100013300031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052918.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 100013300031 its reverse (130003310001), we get a palindrome (230016610032).

The spelling of 100013300031 in words is "one hundred billion, thirteen million, three hundred thousand, thirty-one".