32133131321013 has 18 divisors (see below), whose sum is σ = 48520285885526. Its totient is φ = 20490692433552.

The previous prime is 32133131321003. The next prime is 32133131321021. The reversal of 32133131321013 is 31012313133123.

32133131321013 is a `hidden beast` number, since 3 + 2 + 1 + 331 + 3 + 1 + 321 + 0 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28167146696529 + 3965984624484 = 5307273^2 + 1991478^2 .

It is not a de Polignac number, because 32133131321013 - 2²⁶ = 32133064212149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32133131321003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3374615206 + ... + 3374624727.

Almost surely, 2^{32133131321013} is an apocalyptic number.

It is an amenable number.

32133131321013 is a deficient number, since it is larger than the sum of its proper divisors (16387154564513).

32133131321013 is a wasteful number, since it uses less digits than its factorization.

32133131321013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6749239985 (or 6749239959 counting only the distinct ones).

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

Adding to 32133131321013 its reverse (31012313133123), we get a palindrome (63145444454136).

The spelling of 32133131321013 in words is "thirty-two trillion, one hundred thirty-three billion, one hundred thirty-one million, three hundred twenty-one thousand, thirteen".