312232343232213 has 48 divisors (see below), whose sum is σ = 467306555891760. Its totient is φ = 200729925107712.

The previous prime is 312232343232209. The next prime is 312232343232301.

312232343232213 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 3 + 2 + 3 + 432 + 3 + 2 + 213 = 666.

312232343232213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 43498681194609 + 268733662037604 = 6595353^2 + 16393098^2 .

It is not a de Polignac number, because 312232343232213 - 2² = 312232343232209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312232343232113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1244378473 + ... + 1244629361.

It is an arithmetic number, because the mean of its divisors is an integer number (9735553247745).

Almost surely, 2^{312232343232213} is an apocalyptic number.

It is an amenable number.

312232343232213 is a deficient number, since it is larger than the sum of its proper divisors (155074212659547).

312232343232213 is a wasteful number, since it uses less digits than its factorization.

312232343232213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284118 (or 284115 counting only the distinct ones).

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

The spelling of 312232343232213 in words is "three hundred twelve trillion, two hundred thirty-two billion, three hundred forty-three million, two hundred thirty-two thousand, two hundred thirteen".