132100311000000 has 784 divisors, whose sum is σ = 499998314939648. Its totient is φ = 30152217600000.

The previous prime is 132100310999983. The next prime is 132100311000023. The reversal of 132100311000000 is 113001231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 132100311000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 16526996004 + ... + 16527003996.

Almost surely, 2^{132100311000000} is an apocalyptic number.

132100311000000 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 132100311000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249999157469824).

132100311000000 is an abundant number, since it is smaller than the sum of its proper divisors (367898003939648).

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

132100311000000 is an frugal number, since it uses more digits than its factorization.

132100311000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8832 (or 8797 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 132100311000000 its reverse (113001231), we get a palindrome (132100424001231).

The spelling of 132100311000000 in words is "one hundred thirty-two trillion, one hundred billion, three hundred eleven million", and thus it is an aban number.