312413114014349 has 2 divisors, whose sum is σ = 312413114014350. Its totient is φ = 312413114014348.

The previous prime is 312413114014327. The next prime is 312413114014367. The reversal of 312413114014349 is 943410411314213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 284540152149124 + 27872961865225 = 16868318^2 + 5279485^2 .

It is an emirp because it is prime and its reverse (943410411314213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312413114014349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312413114014049) 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, 156206557007174 + 156206557007175.

It is an arithmetic number, because the mean of its divisors is an integer number (156206557007175).

Almost surely, 2^{312413114014349} is an apocalyptic number.

It is an amenable number.

312413114014349 is a deficient number, since it is larger than the sum of its proper divisors (1).

312413114014349 is an equidigital number, since it uses as much as digits as its factorization.

312413114014349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 312413114014349 in words is "three hundred twelve trillion, four hundred thirteen billion, one hundred fourteen million, fourteen thousand, three hundred forty-nine".