213132322122120 has 96 divisors (see below), whose sum is σ = 693602391381120. Its totient is φ = 56759606352000.

The previous prime is 213132322122079. The next prime is 213132322122163. The reversal of 213132322122120 is 21221223231312.

213132322122120 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 3 + 232 + 212 + 212 + 0 = 666.

213132322122120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393893574 + ... + 394434293.

It is an arithmetic number, because the mean of its divisors is an integer number (7225024910220).

Almost surely, 2^{213132322122120} is an apocalyptic number.

213132322122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213132322122120 is an abundant number, since it is smaller than the sum of its proper divisors (480470069259000).

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

213132322122120 is a wasteful number, since it uses less digits than its factorization.

213132322122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788328635 (or 788328628 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 213132322122120 its reverse (21221223231312), we get a palindrome (234353545353432).

The spelling of 213132322122120 in words is "two hundred thirteen trillion, one hundred thirty-two billion, three hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".