213121666121312 has 48 divisors (see below), whose sum is σ = 461472936668352. Its totient is φ = 96270998108160.

The previous prime is 213121666121303. The next prime is 213121666121327.

213121666121312 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5450104889 + ... + 5450143992.

It is an arithmetic number, because the mean of its divisors is an integer number (9614019513924).

Almost surely, 2^{213121666121312} is an apocalyptic number.

It is an amenable number.

213121666121312 is an abundant number, since it is smaller than the sum of its proper divisors (248351270547040).

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

213121666121312 is a wasteful number, since it uses less digits than its factorization.

213121666121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10900248951 (or 10900248943 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The spelling of 213121666121312 in words is "two hundred thirteen trillion, one hundred twenty-one billion, six hundred sixty-six million, one hundred twenty-one thousand, three hundred twelve".