10013513031 has 8 divisors (see below), whose sum is σ = 14834834160. Its totient is φ = 6675675336.

The previous prime is 10013513017. The next prime is 10013513051. The reversal of 10013513031 is 13031531001.

10013513031 is a `hidden beast` number, since 10 + 0 + 1 + 351 + 303 + 1 = 666.

It is not a de Polignac number, because 10013513031 - 2¹⁹ = 10012988743 is a prime.

It is a super-2 number, since 2×10013513031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10013512995 and 10013513013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013513051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185435400 + ... + 185435453.

It is an arithmetic number, because the mean of its divisors is an integer number (1854354270).

Almost surely, 2^10013513031 is an apocalyptic number.

10013513031 is a deficient number, since it is larger than the sum of its proper divisors (4821321129).

10013513031 is an equidigital number, since it uses as much as digits as its factorization.

10013513031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370870862 (or 370870856 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The spelling of 10013513031 in words is "ten billion, thirteen million, five hundred thirteen thousand, thirty-one".