132313012021332 has 480 divisors, whose sum is σ = 381819360384000. Its totient is φ = 39767363112960.

The previous prime is 132313012021271. The next prime is 132313012021357. The reversal of 132313012021332 is 233120210313231.

132313012021332 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 1 + 301 + 2 + 0 + 21 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132313012021296 and 132313012021305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13695576582 + ... + 13695586242.

It is an arithmetic number, because the mean of its divisors is an integer number (795457000800).

Almost surely, 2^{132313012021332} is an apocalyptic number.

132313012021332 is a gapful number since it is divisible by the number (12) 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 132313012021332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190909680192000).

132313012021332 is an abundant number, since it is smaller than the sum of its proper divisors (249506348362668).

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

132313012021332 is a wasteful number, since it uses less digits than its factorization.

132313012021332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10381 (or 10370 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 132313012021332 its reverse (233120210313231), we get a palindrome (365433222334563).

The spelling of 132313012021332 in words is "one hundred thirty-two trillion, three hundred thirteen billion, twelve million, twenty-one thousand, three hundred thirty-two".