130013013031 has 16 divisors (see below), whose sum is σ = 149222170368. Its totient is φ = 113054767320.

The previous prime is 130013013017. The next prime is 130013013047. The reversal of 130013013031 is 130310310031.

It is not a de Polignac number, because 130013013031 - 2²⁵ = 129979458599 is a prime.

It is a super-2 number, since 2×130013013031² (a number of 23 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 = 130013012996 and 130013013014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130013013931) 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, 2092881 + ... + 2154106.

It is an arithmetic number, because the mean of its divisors is an integer number (9326385648).

Almost surely, 2^130013013031 is an apocalyptic number.

130013013031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130013013031 is a deficient number, since it is larger than the sum of its proper divisors (19209157337).

130013013031 is an equidigital number, since it uses as much as digits as its factorization.

130013013031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4247043 (or 4247021 counting only the distinct ones).

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

Adding to 130013013031 its reverse (130310310031), we get a palindrome (260323323062).

The spelling of 130013013031 in words is "one hundred thirty billion, thirteen million, thirteen thousand, thirty-one".