13132110032100 has 648 divisors, whose sum is σ = 44111690296128. Its totient is φ = 3266856230400.

The previous prime is 13132110032077. The next prime is 13132110032137. The reversal of 13132110032100 is 123001123131.

13132110032100 is a `hidden beast` number, since 1 + 31 + 321 + 100 + 3 + 210 + 0 = 666.

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

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 6292337257 + ... + 6292339343.

It is an arithmetic number, because the mean of its divisors is an integer number (68073596136).

Almost surely, 2^{13132110032100} is an apocalyptic number.

13132110032100 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 13132110032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22055845148064).

13132110032100 is an abundant number, since it is smaller than the sum of its proper divisors (30979580264028).

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

13132110032100 is a wasteful number, since it uses less digits than its factorization.

13132110032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13132110032100 its reverse (123001123131), we get a palindrome (13255111155231).

The spelling of 13132110032100 in words is "thirteen trillion, one hundred thirty-two billion, one hundred ten million, thirty-two thousand, one hundred".