100013000031 has 48 divisors (see below), whose sum is σ = 172361217600. Its totient is φ = 54673242624.

The previous prime is 100013000029. The next prime is 100013000039. The reversal of 100013000031 is 130000310001.

It is not a de Polignac number, because 100013000031 - 2¹ = 100013000029 is a prime.

It is a super-2 number, since 2×100013000031² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100012999977 and 100013000022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013000039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51966 + ... + 450251.

It is an arithmetic number, because the mean of its divisors is an integer number (3590858700).

Almost surely, 2^100013000031 is an apocalyptic number.

100013000031 is a deficient number, since it is larger than the sum of its proper divisors (72348217569).

100013000031 is a wasteful number, since it uses less digits than its factorization.

100013000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502368 (or 502365 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 100013000031 its reverse (130000310001), we get a palindrome (230013310032).

The spelling of 100013000031 in words is "one hundred billion, thirteen million, thirty-one", and thus it is an aban number.