311330113 has 2 divisors, whose sum is σ = 311330114. Its totient is φ = 311330112.

The previous prime is 311330087. The next prime is 311330119. The reversal of 311330113 is 311033113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 273174784 + 38155329 = 16528^2 + 6177^2 .

It is an emirp because it is prime and its reverse (311033113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 311330113 - 2⁵ = 311330081 is a prime.

It is not a weakly prime, because it can be changed into another prime (311330119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155665056 + 155665057.

It is an arithmetic number, because the mean of its divisors is an integer number (155665057).

Almost surely, 2^311330113 is an apocalyptic number.

It is an amenable number.

311330113 is a deficient number, since it is larger than the sum of its proper divisors (1).

311330113 is an equidigital number, since it uses as much as digits as its factorization.

311330113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 311330113 is about 17644.5491016348. The cubic root of 311330113 is about 677.7565287186.

Adding to 311330113 its reverse (311033113), we get a palindrome (622363226).

The spelling of 311330113 in words is "three hundred eleven million, three hundred thirty thousand, one hundred thirteen".