311020303121993 has 2 divisors, whose sum is σ = 311020303121994. Its totient is φ = 311020303121992.

The previous prime is 311020303121977. The next prime is 311020303122049. The reversal of 311020303121993 is 399121303020113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 309677919038224 + 1342384083769 = 17597668^2 + 1158613^2 .

It is a cyclic number.

It is not a de Polignac number, because 311020303121993 - 2⁴ = 311020303121977 is a prime.

It is not a weakly prime, because it can be changed into another prime (311020303129993) 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, 155510151560996 + 155510151560997.

It is an arithmetic number, because the mean of its divisors is an integer number (155510151560997).

Almost surely, 2^{311020303121993} is an apocalyptic number.

It is an amenable number.

311020303121993 is a deficient number, since it is larger than the sum of its proper divisors (1).

311020303121993 is an equidigital number, since it uses as much as digits as its factorization.

311020303121993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 38.

The spelling of 311020303121993 in words is "three hundred eleven trillion, twenty billion, three hundred three million, one hundred twenty-one thousand, nine hundred ninety-three".