10013113031 has 16 divisors (see below), whose sum is σ = 10702252800. Its totient is φ = 9340531200.

The previous prime is 10013113027. The next prime is 10013113063. The reversal of 10013113031 is 13031131001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10013113031 - 2² = 10013113027 is a prime.

It is a super-2 number, since 2×10013113031² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10013112997 and 10013113015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013113001) 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, 1154471 + ... + 1163111.

It is an arithmetic number, because the mean of its divisors is an integer number (668890800).

Almost surely, 2^10013113031 is an apocalyptic number.

10013113031 is a deficient number, since it is larger than the sum of its proper divisors (689139769).

10013113031 is an equidigital number, since it uses as much as digits as its factorization.

10013113031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9590.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10013113031 its reverse (13031131001), we get a palindrome (23044244032).

The spelling of 10013113031 in words is "ten billion, thirteen million, one hundred thirteen thousand, thirty-one".