132033102342312 has 64 divisors (see below), whose sum is σ = 330277220199360. Its totient is φ = 43985111385600.

The previous prime is 132033102342307. The next prime is 132033102342331. The reversal of 132033102342312 is 213243201330231.

132033102342312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132033102342312² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132033102342312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370055362 + ... + 370411982.

It is an arithmetic number, because the mean of its divisors is an integer number (5160581565615).

Almost surely, 2^{132033102342312} is an apocalyptic number.

132033102342312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132033102342312 is an abundant number, since it is smaller than the sum of its proper divisors (198244117857048).

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

132033102342312 is a wasteful number, since it uses less digits than its factorization.

132033102342312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365674 (or 365670 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 132033102342312 its reverse (213243201330231), we get a palindrome (345276303672543).

The spelling of 132033102342312 in words is "one hundred thirty-two trillion, thirty-three billion, one hundred two million, three hundred forty-two thousand, three hundred twelve".