10013131131300 has 108 divisors (see below), whose sum is σ = 34238839938576. Its totient is φ = 2427425726400.

The previous prime is 10013131131187. The next prime is 10013131131301. The reversal of 10013131131300 is 313113131001.

10013131131300 is a `hidden beast` number, since 10 + 0 + 1 + 31 + 311 + 313 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10013131131301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 505703794 + ... + 505723593.

Almost surely, 2^{10013131131300} is an apocalyptic number.

10013131131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013131131300 is an abundant number, since it is smaller than the sum of its proper divisors (24225708807276).

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

10013131131300 is a wasteful number, since it uses less digits than its factorization.

10013131131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011427418 (or 1011427408 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 10013131131300 its reverse (313113131001), we get a palindrome (10326244262301).

The spelling of 10013131131300 in words is "ten trillion, thirteen billion, one hundred thirty-one million, one hundred thirty-one thousand, three hundred".