132111122131300 has 72 divisors (see below), whose sum is σ = 308824639036200. Its totient is φ = 48765096145920.

The previous prime is 132111122131297. The next prime is 132111122131309. The reversal of 132111122131300 is 3131221111231.

It can be written as a sum of positive squares in 12 ways, for example, as 67746957569316 + 64364164561984 = 8230854^2 + 8022728^2 .

It is a super-3 number, since 3×132111122131300³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (132111122131309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10587505 + ... + 19398904.

It is an arithmetic number, because the mean of its divisors is an integer number (4289231097725).

Almost surely, 2^{132111122131300} is an apocalyptic number.

132111122131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132111122131300 is an abundant number, since it is smaller than the sum of its proper divisors (176713516904900).

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

132111122131300 is a wasteful number, since it uses less digits than its factorization.

132111122131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29989825 (or 29989818 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 132111122131300 its reverse (3131221111231), we get a palindrome (135242343242531).

The spelling of 132111122131300 in words is "one hundred thirty-two trillion, one hundred eleven billion, one hundred twenty-two million, one hundred thirty-one thousand, three hundred".