312311323113217 has 2 divisors, whose sum is σ = 312311323113218. Its totient is φ = 312311323113216.

The previous prime is 312311323113203. The next prime is 312311323113221. The reversal of 312311323113217 is 712311323113213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 261807900669441 + 50503422443776 = 16180479^2 + 7106576^2 .

It is a cyclic number.

It is not a de Polignac number, because 312311323113217 - 2²³ = 312311314724609 is a prime.

It is a super-2 number, since 2×312311323113217² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312311323113287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156155661556608 + 156155661556609.

It is an arithmetic number, because the mean of its divisors is an integer number (156155661556609).

Almost surely, 2^{312311323113217} is an apocalyptic number.

It is an amenable number.

312311323113217 is a deficient number, since it is larger than the sum of its proper divisors (1).

312311323113217 is an equidigital number, since it uses as much as digits as its factorization.

312311323113217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13608, while the sum is 34.

The spelling of 312311323113217 in words is "three hundred twelve trillion, three hundred eleven billion, three hundred twenty-three million, one hundred thirteen thousand, two hundred seventeen".