312123323321213 has 2 divisors, whose sum is σ = 312123323321214. Its totient is φ = 312123323321212.

The previous prime is 312123323321209. The next prime is 312123323321233.

312123323321213 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 232900471199929 + 79222852121284 = 15261077^2 + 8900722^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 312123323321213 - 2² = 312123323321209 is a prime.

It is a super-2 number, since 2×312123323321213² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312123323321213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312123323321233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156061661660606 + 156061661660607.

It is an arithmetic number, because the mean of its divisors is an integer number (156061661660607).

Almost surely, 2^{312123323321213} is an apocalyptic number.

It is an amenable number.

312123323321213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312123323321213 is an equidigital number, since it uses as much as digits as its factorization.

312123323321213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23328, while the sum is 32.

The spelling of 312123323321213 in words is "three hundred twelve trillion, one hundred twenty-three billion, three hundred twenty-three million, three hundred twenty-one thousand, two hundred thirteen".