13031031013 has 64 divisors (see below), whose sum is σ = 18486558720. Its totient is φ = 8856288000.

The previous prime is 13031031011. The next prime is 13031031043. The reversal of 13031031013 is 31013013031.

It is not a de Polignac number, because 13031031013 - 2¹ = 13031031011 is a prime.

It is a super-3 number, since 3×13031031013³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031031011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1359588 + ... + 1369138.

It is an arithmetic number, because the mean of its divisors is an integer number (288852480).

Almost surely, 2^13031031013 is an apocalyptic number.

13031031013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13031031013 is a deficient number, since it is larger than the sum of its proper divisors (5455527707).

13031031013 is a wasteful number, since it uses less digits than its factorization.

13031031013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9658.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 13031031013 its reverse (31013013031), we get a palindrome (44044044044).

The spelling of 13031031013 in words is "thirteen billion, thirty-one million, thirty-one thousand, thirteen".