311122311132013 has 2 divisors, whose sum is σ = 311122311132014. Its totient is φ = 311122311132012.

The previous prime is 311122311131987. The next prime is 311122311132047. The reversal of 311122311132013 is 310231113221113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 158248424380489 + 152873886751524 = 12579683^2 + 12364218^2 .

It is a cyclic number.

It is not a de Polignac number, because 311122311132013 - 2⁹ = 311122311131501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311122311132053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155561155566006 + 155561155566007.

It is an arithmetic number, because the mean of its divisors is an integer number (155561155566007).

Almost surely, 2^{311122311132013} is an apocalyptic number.

It is an amenable number.

311122311132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

311122311132013 is an equidigital number, since it uses as much as digits as its factorization.

311122311132013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 311122311132013 its reverse (310231113221113), we get a palindrome (621353424353126).

The spelling of 311122311132013 in words is "three hundred eleven trillion, one hundred twenty-two billion, three hundred eleven million, one hundred thirty-two thousand, thirteen".