213120121021312 has 64 divisors (see below), whose sum is σ = 449617473300240. Its totient is φ = 100276825743360.

The previous prime is 213120121021309. The next prime is 213120121021387.

It is a happy number.

213120121021312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7240738 + ... + 21878494.

Almost surely, 2^{213120121021312} is an apocalyptic number.

It is an amenable number.

213120121021312 is an abundant number, since it is smaller than the sum of its proper divisors (236497352278928).

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

213120121021312 is a wasteful number, since it uses less digits than its factorization.

213120121021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14644479 (or 14644467 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 213120121021312 in words is "two hundred thirteen trillion, one hundred twenty billion, one hundred twenty-one million, twenty-one thousand, three hundred twelve".