311013312193 has 2 divisors, whose sum is σ = 311013312194. Its totient is φ = 311013312192.

The previous prime is 311013312187. The next prime is 311013312199. The reversal of 311013312193 is 391213310113.

It is a balanced prime because it is at equal distance from previous prime (311013312187) and next prime (311013312199).

It can be written as a sum of positive squares in only one way, i.e., 310569914944 + 443397249 = 557288^2 + 21057^2 .

It is an emirp because it is prime and its reverse (391213310113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 311013312193 - 2⁵ = 311013312161 is a prime.

It is a super-2 number, since 2×311013312193² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (311013312199) 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, 155506656096 + 155506656097.

It is an arithmetic number, because the mean of its divisors is an integer number (155506656097).

Almost surely, 2^311013312193 is an apocalyptic number.

It is an amenable number.

311013312193 is a deficient number, since it is larger than the sum of its proper divisors (1).

311013312193 is an equidigital number, since it uses as much as digits as its factorization.

311013312193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 28.

The spelling of 311013312193 in words is "three hundred eleven billion, thirteen million, three hundred twelve thousand, one hundred ninety-three".