312413202314213 has 96 divisors (see below), whose sum is σ = 428706845441280. Its totient is φ = 221507611776000.

The previous prime is 312413202314209. The next prime is 312413202314249.

312413202314213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312413202314213 - 2² = 312413202314209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312413202314213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312413202314203) 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, 251830433 + ... + 253067961.

It is an arithmetic number, because the mean of its divisors is an integer number (4465696306680).

Almost surely, 2^{312413202314213} is an apocalyptic number.

It is an amenable number.

312413202314213 is a deficient number, since it is larger than the sum of its proper divisors (116293643127067).

312413202314213 is a wasteful number, since it uses less digits than its factorization.

312413202314213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237899 (or 1237888 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 31241320 and 2314213, that added together give a palindrome (33555533).

The spelling of 312413202314213 in words is "three hundred twelve trillion, four hundred thirteen billion, two hundred two million, three hundred fourteen thousand, two hundred thirteen".