13010013131100 has 72 divisors (see below), whose sum is σ = 37643121936000. Its totient is φ = 3469261510080.

The previous prime is 13010013131023. The next prime is 13010013131333. The reversal of 13010013131100 is 113131001031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13010013131100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14122401 + ... + 15015399.

It is an arithmetic number, because the mean of its divisors is an integer number (522821138000).

Almost surely, 2^{13010013131100} is an apocalyptic number.

13010013131100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13010013131100 is an abundant number, since it is smaller than the sum of its proper divisors (24633108804900).

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

13010013131100 is a wasteful number, since it uses less digits than its factorization.

13010013131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941579 (or 941572 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 13010013131100 its reverse (113131001031), we get a palindrome (13123144132131).

The spelling of 13010013131100 in words is "thirteen trillion, ten billion, thirteen million, one hundred thirty-one thousand, one hundred".