130013131300 has 72 divisors (see below), whose sum is σ = 307244788200. Its totient is φ = 47465425920.

The previous prime is 130013131249. The next prime is 130013131321. The reversal of 130013131300 is 3131310031.

It can be written as a sum of positive squares in 12 ways, for example, as 50366131776 + 79646999524 = 224424^2 + 282218^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 446155 + ... + 677554.

It is an arithmetic number, because the mean of its divisors is an integer number (4267288725).

Almost surely, 2^130013131300 is an apocalyptic number.

130013131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130013131300 is an abundant number, since it is smaller than the sum of its proper divisors (177231656900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130013131300 is a wasteful number, since it uses less digits than its factorization.

130013131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123825 (or 1123818 counting only the distinct ones).

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

Adding to 130013131300 its reverse (3131310031), we get a palindrome (133144441331).

The spelling of 130013131300 in words is "one hundred thirty billion, thirteen million, one hundred thirty-one thousand, three hundred".