13131104132100 has 432 divisors, whose sum is σ = 39939743692800. Its totient is φ = 3329287315200.

The previous prime is 13131104132087. The next prime is 13131104132171. The reversal of 13131104132100 is 123140113131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5188107835 + ... + 5188110365.

It is an arithmetic number, because the mean of its divisors is an integer number (92453110400).

Almost surely, 2^{13131104132100} is an apocalyptic number.

13131104132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131104132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19969871846400).

13131104132100 is an abundant number, since it is smaller than the sum of its proper divisors (26808639560700).

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

13131104132100 is a wasteful number, since it uses less digits than its factorization.

13131104132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 13131104132100 its reverse (123140113131), we get a palindrome (13254244245231).

The spelling of 13131104132100 in words is "thirteen trillion, one hundred thirty-one billion, one hundred four million, one hundred thirty-two thousand, one hundred".