313322102120249 has 2 divisors, whose sum is σ = 313322102120250. Its totient is φ = 313322102120248.

The previous prime is 313322102120201. The next prime is 313322102120257. The reversal of 313322102120249 is 942021201223313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 260353327579024 + 52968774541225 = 16135468^2 + 7277965^2 .

It is a cyclic number.

It is not a de Polignac number, because 313322102120249 - 2⁸ = 313322102119993 is a prime.

It is not a weakly prime, because it can be changed into another prime (313322102120449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156661051060124 + 156661051060125.

It is an arithmetic number, because the mean of its divisors is an integer number (156661051060125).

Almost surely, 2^{313322102120249} is an apocalyptic number.

It is an amenable number.

313322102120249 is a deficient number, since it is larger than the sum of its proper divisors (1).

313322102120249 is an equidigital number, since it uses as much as digits as its factorization.

313322102120249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 313322102120249 in words is "three hundred thirteen trillion, three hundred twenty-two billion, one hundred two million, one hundred twenty thousand, two hundred forty-nine".