132100000000000 has 288 divisors, whose sum is σ = 330419310170040. Its totient is φ = 52800000000000.

The previous prime is 132099999999931. The next prime is 132100000000037. The reversal of 132100000000000 is 1231.

It can be written as a sum of positive squares in 12 ways, for example, as 8708070491136 + 123391929508864 = 2950944^2 + 11108192^2 .

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, 99999999340 + ... + 100000000660.

Almost surely, 2^{132100000000000} is an apocalyptic number.

132100000000000 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 132100000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165209655085020).

132100000000000 is an abundant number, since it is smaller than the sum of its proper divisors (198319310170040).

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

132100000000000 is an frugal number, since it uses more digits than its factorization.

132100000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 132100000000000 its reverse (1231), we get a palindrome (132100000001231).

The spelling of 132100000000000 in words is "one hundred thirty-two trillion, one hundred billion", and thus it is an aban number.