311213131330093 has 2 divisors, whose sum is σ = 311213131330094. Its totient is φ = 311213131330092.

The previous prime is 311213131330067. The next prime is 311213131330111. The reversal of 311213131330093 is 390033131312113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180481303154889 + 130731828175204 = 13434333^2 + 11433802^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-311213131330093 is a prime.

It is a super-2 number, since 2×311213131330093² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311213131330693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155606565665046 + 155606565665047.

It is an arithmetic number, because the mean of its divisors is an integer number (155606565665047).

Almost surely, 2^{311213131330093} is an apocalyptic number.

It is an amenable number.

311213131330093 is a deficient number, since it is larger than the sum of its proper divisors (1).

311213131330093 is an equidigital number, since it uses as much as digits as its factorization.

311213131330093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 34.

The spelling of 311213131330093 in words is "three hundred eleven trillion, two hundred thirteen billion, one hundred thirty-one million, three hundred thirty thousand, ninety-three".