312112222211213 has 2 divisors, whose sum is σ = 312112222211214. Its totient is φ = 312112222211212.

The previous prime is 312112222211203. The next prime is 312112222211219.

312112222211213 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312112218223204 + 3988009 = 17666698^2 + 1997^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 312112222211213 - 2¹² = 312112222207117 is a prime.

It is a super-3 number, since 3×312112222211213³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312112222211219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156056111105606 + 156056111105607.

It is an arithmetic number, because the mean of its divisors is an integer number (156056111105607).

Almost surely, 2^{312112222211213} is an apocalyptic number.

It is an amenable number.

312112222211213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312112222211213 is an equidigital number, since it uses as much as digits as its factorization.

312112222211213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1152, while the sum is 26.

The spelling of 312112222211213 in words is "three hundred twelve trillion, one hundred twelve billion, two hundred twenty-two million, two hundred eleven thousand, two hundred thirteen".