311214300442013 has 2 divisors, whose sum is σ = 311214300442014. Its totient is φ = 311214300442012.

The previous prime is 311214300441977. The next prime is 311214300442033. The reversal of 311214300442013 is 310244003412113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310747159632484 + 467140809529 = 17628022^2 + 683477^2 .

It is a cyclic number.

It is not a de Polignac number, because 311214300442013 - 2³⁸ = 310939422535069 is a prime.

It is a super-2 number, since 2×311214300442013² (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 (311214300442033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155607150221006 + 155607150221007.

It is an arithmetic number, because the mean of its divisors is an integer number (155607150221007).

Almost surely, 2^{311214300442013} is an apocalyptic number.

It is an amenable number.

311214300442013 is a deficient number, since it is larger than the sum of its proper divisors (1).

311214300442013 is an equidigital number, since it uses as much as digits as its factorization.

311214300442013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 311214300442013 its reverse (310244003412113), we get a palindrome (621458303854126).

The spelling of 311214300442013 in words is "three hundred eleven trillion, two hundred fourteen billion, three hundred million, four hundred forty-two thousand, thirteen".