132312033113013 has 24 divisors (see below), whose sum is σ = 205884919680440. Its totient is φ = 81396600001920.

The previous prime is 132312033112981. The next prime is 132312033113053. The reversal of 132312033113013 is 310311330213231.

132312033113013 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 1 + 20 + 331 + 1 + 301 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9068331208689 + 123243701904324 = 3011367^2 + 11101518^2 .

It is not a de Polignac number, because 132312033113013 - 2⁵ = 132312033112981 is a prime.

It is a super-3 number, since 3×132312033113013³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132312033113053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181506958 + ... + 182234463.

Almost surely, 2^{132312033113013} is an apocalyptic number.

132312033113013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132312033113013 is a deficient number, since it is larger than the sum of its proper divisors (73572886567427).

132312033113013 is a wasteful number, since it uses less digits than its factorization.

132312033113013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363744549 (or 363744546 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 132312033113013 its reverse (310311330213231), we get a palindrome (442623363326244).

The spelling of 132312033113013 in words is "one hundred thirty-two trillion, three hundred twelve billion, thirty-three million, one hundred thirteen thousand, thirteen".