13031102010100 has 36 divisors (see below), whose sum is σ = 28280580075468. Its totient is φ = 5211871456000.

The previous prime is 13031102010083. The next prime is 13031102010139. The reversal of 13031102010100 is 101020113031.

13031102010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 112152651664 + 12918949358436 = 334892^2 + 3594294^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6196171 + ... + 8028370.

It is an arithmetic number, because the mean of its divisors is an integer number (785571668763).

Almost surely, 2^{13031102010100} is an apocalyptic number.

13031102010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13031102010100 is an abundant number, since it is smaller than the sum of its proper divisors (15249478065368).

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

13031102010100 is a wasteful number, since it uses less digits than its factorization.

13031102010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14233716 (or 14233709 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 13031102010100 its reverse (101020113031), we get a palindrome (13132122123131).

The spelling of 13031102010100 in words is "thirteen trillion, thirty-one billion, one hundred two million, ten thousand, one hundred".