132100332333000 has 256 divisors, whose sum is σ = 430228641024000. Its totient is φ = 33707367936000.

The previous prime is 132100332332977. The next prime is 132100332333029. The reversal of 132100332333000 is 333233001231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297036 + ... + 16256964.

It is an arithmetic number, because the mean of its divisors is an integer number (1680580629000).

Almost surely, 2^{132100332333000} is an apocalyptic number.

132100332333000 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 132100332333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215114320512000).

132100332333000 is an abundant number, since it is smaller than the sum of its proper divisors (298128308691000).

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

132100332333000 is a wasteful number, since it uses less digits than its factorization.

132100332333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15960073 (or 15960059 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 132100332333000 its reverse (333233001231), we get a palindrome (132433565334231).

The spelling of 132100332333000 in words is "one hundred thirty-two trillion, one hundred billion, three hundred thirty-two million, three hundred thirty-three thousand".