312311303113193 has 2 divisors, whose sum is σ = 312311303113194. Its totient is φ = 312311303113192.

The previous prime is 312311303113177. The next prime is 312311303113223. The reversal of 312311303113193 is 391311303113213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 221705786684944 + 90605516428249 = 14889788^2 + 9518693^2 .

It is a cyclic number.

It is not a de Polignac number, because 312311303113193 - 2⁴ = 312311303113177 is a prime.

It is not a weakly prime, because it can be changed into another prime (312311303113133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156155651556596 + 156155651556597.

It is an arithmetic number, because the mean of its divisors is an integer number (156155651556597).

Almost surely, 2^{312311303113193} is an apocalyptic number.

It is an amenable number.

312311303113193 is a deficient number, since it is larger than the sum of its proper divisors (1).

312311303113193 is an equidigital number, since it uses as much as digits as its factorization.

312311303113193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 35.

The spelling of 312311303113193 in words is "three hundred twelve trillion, three hundred eleven billion, three hundred three million, one hundred thirteen thousand, one hundred ninety-three".