32133113123013 has 18 divisors (see below), whose sum is σ = 53992373751654. Its totient is φ = 18361778927184.

The previous prime is 32133113122991. The next prime is 32133113123047. The reversal of 32133113123013 is 31032131133123.

32133113123013 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 311 + 312 + 30 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31037745749409 + 1095367373604 = 5571153^2 + 1046598^2 .

It is not a de Polignac number, because 32133113123013 - 2¹⁶ = 32133113057477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32133111123013) 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, 36432100606 + ... + 36432101487.

Almost surely, 2^{32133113123013} is an apocalyptic number.

It is an amenable number.

32133113123013 is a deficient number, since it is larger than the sum of its proper divisors (21859260628641).

32133113123013 is a wasteful number, since it uses less digits than its factorization.

32133113123013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72864202113 (or 72864202103 counting only the distinct ones).

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

Adding to 32133113123013 its reverse (31032131133123), we get a palindrome (63165244256136).

The spelling of 32133113123013 in words is "thirty-two trillion, one hundred thirty-three billion, one hundred thirteen million, one hundred twenty-three thousand, thirteen".