32121320013 has 32 divisors (see below), whose sum is σ = 50168160000. Its totient is φ = 20271955968.

The previous prime is 32121319999. The next prime is 32121320039. The reversal of 32121320013 is 31002312123.

32121320013 is a `hidden beast` number, since 321 + 21 + 320 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 32121320013 - 2⁸ = 32121319757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32121320113) 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 31 ways as a sum of consecutive naturals, for example, 206388 + ... + 326861.

It is an arithmetic number, because the mean of its divisors is an integer number (1567755000).

Almost surely, 2^32121320013 is an apocalyptic number.

It is an amenable number.

32121320013 is a deficient number, since it is larger than the sum of its proper divisors (18046839987).

32121320013 is a wasteful number, since it uses less digits than its factorization.

32121320013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533378 (or 533372 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32121320013 its reverse (31002312123), we get a palindrome (63123632136).

The spelling of 32121320013 in words is "thirty-two billion, one hundred twenty-one million, three hundred twenty thousand, thirteen".