311441033311313 has 2 divisors, whose sum is σ = 311441033311314. Its totient is φ = 311441033311312.

The previous prime is 311441033311271. The next prime is 311441033311339. The reversal of 311441033311313 is 313113330144113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 276303915801664 + 35137117509649 = 16622392^2 + 5927657^2 .

It is a cyclic number.

It is not a de Polignac number, because 311441033311313 - 2¹⁸ = 311441033049169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 311441033311313.

It is not a weakly prime, because it can be changed into another prime (311441033371313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155720516655656 + 155720516655657.

It is an arithmetic number, because the mean of its divisors is an integer number (155720516655657).

Almost surely, 2^{311441033311313} is an apocalyptic number.

It is an amenable number.

311441033311313 is a deficient number, since it is larger than the sum of its proper divisors (1).

311441033311313 is an equidigital number, since it uses as much as digits as its factorization.

311441033311313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 32.

Adding to 311441033311313 its reverse (313113330144113), we get a palindrome (624554363455426).

The spelling of 311441033311313 in words is "three hundred eleven trillion, four hundred forty-one billion, thirty-three million, three hundred eleven thousand, three hundred thirteen".