311013013313 has 2 divisors, whose sum is σ = 311013013314. Its totient is φ = 311013013312.

The previous prime is 311013013249. The next prime is 311013013351. The reversal of 311013013313 is 313310310113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 274626306304 + 36386707009 = 524048^2 + 190753^2 .

It is a cyclic number.

It is not a de Polignac number, because 311013013313 - 2⁶ = 311013013249 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (311013013393) 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, 155506506656 + 155506506657.

It is an arithmetic number, because the mean of its divisors is an integer number (155506506657).

Almost surely, 2^311013013313 is an apocalyptic number.

It is an amenable number.

311013013313 is a deficient number, since it is larger than the sum of its proper divisors (1).

311013013313 is an equidigital number, since it uses as much as digits as its factorization.

311013013313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 311013013313 its reverse (313310310113), we get a palindrome (624323323426).

The spelling of 311013013313 in words is "three hundred eleven billion, thirteen million, thirteen thousand, three hundred thirteen".