311105317 has 2 divisors, whose sum is σ = 311105318. Its totient is φ = 311105316.

The previous prime is 311105299. The next prime is 311105323. The reversal of 311105317 is 713501113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172948801 + 138156516 = 13151^2 + 11754^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-311105317 is a prime.

It is equal to p_16821013 and since 311105317 and 16821013 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311102317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155552658 + 155552659.

It is an arithmetic number, because the mean of its divisors is an integer number (155552659).

Almost surely, 2^311105317 is an apocalyptic number.

It is an amenable number.

311105317 is a deficient number, since it is larger than the sum of its proper divisors (1).

311105317 is an equidigital number, since it uses as much as digits as its factorization.

311105317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 311105317 is about 17638.1778253877. The cubic root of 311105317 is about 677.5933646742.

The spelling of 311105317 in words is "three hundred eleven million, one hundred five thousand, three hundred seventeen".