13131011022100 has 72 divisors (see below), whose sum is σ = 29763428768640. Its totient is φ = 5018927210880.

The previous prime is 13131011022083. The next prime is 13131011022113. The reversal of 13131011022100 is 122011013131.

It is a happy number.

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, 643035 + ... + 5164834.

It is an arithmetic number, because the mean of its divisors is an integer number (413380955120).

Almost surely, 2^{13131011022100} is an apocalyptic number.

13131011022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131011022100 is an abundant number, since it is smaller than the sum of its proper divisors (16632417746540).

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

13131011022100 is a wasteful number, since it uses less digits than its factorization.

13131011022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5808889 (or 5808882 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13131011022100 its reverse (122011013131), we get a palindrome (13253022035231).

The spelling of 13131011022100 in words is "thirteen trillion, one hundred thirty-one billion, eleven million, twenty-two thousand, one hundred".