10013000031 has 16 divisors (see below), whose sum is σ = 15312593920. Its totient is φ = 6459999480.

The previous prime is 10012999979. The next prime is 10013000047. The reversal of 10013000031 is 13000031001.

10013000031 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10013000031 - 2¹⁸ = 10012737887 is a prime.

It is a super-2 number, since 2×10013000031² (a number of 21 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10012999977 and 10013000022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013000831) 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, 5980645 + ... + 5982318.

It is an arithmetic number, because the mean of its divisors is an integer number (957037120).

Almost surely, 2^10013000031 is an apocalyptic number.

10013000031 is a deficient number, since it is larger than the sum of its proper divisors (5299593889).

10013000031 is a wasteful number, since it uses less digits than its factorization.

10013000031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11963003 (or 11962997 counting only the distinct ones).

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

Adding to 10013000031 its reverse (13000031001), we get a palindrome (23013031032).

The spelling of 10013000031 in words is "ten billion, thirteen million, thirty-one", and thus it is an aban number and an uban number.