310331120120249 has 2 divisors, whose sum is σ = 310331120120250. Its totient is φ = 310331120120248.

The previous prime is 310331120120159. The next prime is 310331120120251. The reversal of 310331120120249 is 942021021133013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 257764052521024 + 52567067599225 = 16055032^2 + 7250315^2 .

It is a cyclic number.

It is not a de Polignac number, because 310331120120249 - 2³⁶ = 310262400643513 is a prime.

Together with 310331120120251, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (310331120120149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155165560060124 + 155165560060125.

It is an arithmetic number, because the mean of its divisors is an integer number (155165560060125).

Almost surely, 2^{310331120120249} is an apocalyptic number.

It is an amenable number.

310331120120249 is a deficient number, since it is larger than the sum of its proper divisors (1).

310331120120249 is an equidigital number, since it uses as much as digits as its factorization.

310331120120249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 310331120120249 in words is "three hundred ten trillion, three hundred thirty-one billion, one hundred twenty million, one hundred twenty thousand, two hundred forty-nine".