312244020442213 has 2 divisors, whose sum is σ = 312244020442214. Its totient is φ = 312244020442212.

The previous prime is 312244020442187. The next prime is 312244020442217.

312244020442213 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., 298060646811489 + 14183373630724 = 17264433^2 + 3766082^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 312244020442213 - 2²⁹ = 312243483571301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312244020442217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156122010221106 + 156122010221107.

It is an arithmetic number, because the mean of its divisors is an integer number (156122010221107).

Almost surely, 2^{312244020442213} is an apocalyptic number.

It is an amenable number.

312244020442213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312244020442213 is an equidigital number, since it uses as much as digits as its factorization.

312244020442213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 34.

The spelling of 312244020442213 in words is "three hundred twelve trillion, two hundred forty-four billion, twenty million, four hundred forty-two thousand, two hundred thirteen".