312322343223213 has 96 divisors (see below), whose sum is σ = 468907934736384. Its totient is φ = 200108406960000.

The previous prime is 312322343223157. The next prime is 312322343223221.

312322343223213 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 2 + 2 + 3 + 4 + 322 + 321 + 3 = 666.

312322343223213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312322343223213 - 2⁸ = 312322343222957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312322343223223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60398826118 + ... + 60398831288.

It is an arithmetic number, because the mean of its divisors is an integer number (4884457653504).

Almost surely, 2^{312322343223213} is an apocalyptic number.

It is an amenable number.

312322343223213 is a deficient number, since it is larger than the sum of its proper divisors (156585591513171).

312322343223213 is a wasteful number, since it uses less digits than its factorization.

312322343223213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7447 (or 7444 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The spelling of 312322343223213 in words is "three hundred twelve trillion, three hundred twenty-two billion, three hundred forty-three million, two hundred twenty-three thousand, two hundred thirteen".