312212343212213 has 16 divisors (see below), whose sum is σ = 317444217696000. Its totient is φ = 307022059610112.

The previous prime is 312212343212207. The next prime is 312212343212219.

312212343212213 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (312212343212207) and next prime (312212343212219).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312212343212213 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312212343212213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312212343212219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7415093 + ... + 26065461.

It is an arithmetic number, because the mean of its divisors is an integer number (19840263606000).

Almost surely, 2^{312212343212213} is an apocalyptic number.

It is an amenable number.

312212343212213 is a deficient number, since it is larger than the sum of its proper divisors (5231874483787).

312212343212213 is a wasteful number, since it uses less digits than its factorization.

312212343212213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18651484.

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

The spelling of 312212343212213 in words is "three hundred twelve trillion, two hundred twelve billion, three hundred forty-three million, two hundred twelve thousand, two hundred thirteen".