213373312 has 32 divisors (see below), whose sum is σ = 430480800. Its totient is φ = 105331200.

The previous prime is 213373291. The next prime is 213373327.

213373312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 439 + ... + 20662.

It is an arithmetic number, because the mean of its divisors is an integer number (13452525).

Almost surely, 2^213373312 is an apocalyptic number.

It is an amenable number.

213373312 is an abundant number, since it is smaller than the sum of its proper divisors (217107488).

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

213373312 is an equidigital number, since it uses as much as digits as its factorization.

213373312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21194 (or 21182 counting only the distinct ones).

The product of its digits is 2268, while the sum is 25.

The square root of 213373312 is about 14607.3033787897. The cubic root of 213373312 is about 597.5579556652.

It can be divided in two parts, 21337 and 3312, that added together give a square (24649 = 157²).

The spelling of 213373312 in words is "two hundred thirteen million, three hundred seventy-three thousand, three hundred twelve".