10031013 has 32 divisors (see below), whose sum is σ = 16070400. Its totient is φ = 6164928.

The previous prime is 10030991. The next prime is 10031027. The reversal of 10031013 is 31013001.

10031013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10031013 - 2¹⁰ = 10029989 is a prime.

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 = 10030986 and 10031004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17731 + ... + 18287.

It is an arithmetic number, because the mean of its divisors is an integer number (502200).

Almost surely, 2^10031013 is an apocalyptic number.

It is an amenable number.

10031013 is a deficient number, since it is larger than the sum of its proper divisors (6039387).

10031013 is a wasteful number, since it uses less digits than its factorization.

10031013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 612 counting only the distinct ones).

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

The square root of 10031013 is about 3167.1774500334. The cubic root of 10031013 is about 215.6659574371.

Adding to 10031013 its reverse (31013001), we get a palindrome (41044014).

It can be divided in two parts, 1003 and 1013, that added together give a triangular number (2016 = T₆₃).

The spelling of 10031013 in words is "ten million, thirty-one thousand, thirteen".