311441413321 has 2 divisors, whose sum is σ = 311441413322. Its totient is φ = 311441413320.

The previous prime is 311441413313. The next prime is 311441413331. The reversal of 311441413321 is 123314144113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 223270425225 + 88170988096 = 472515^2 + 296936^2 .

It is an emirp because it is prime and its reverse (123314144113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 311441413321 - 2³ = 311441413313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 311441413321.

It is not a weakly prime, because it can be changed into another prime (311441413331) 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, 155720706660 + 155720706661.

It is an arithmetic number, because the mean of its divisors is an integer number (155720706661).

Almost surely, 2^311441413321 is an apocalyptic number.

It is an amenable number.

311441413321 is a deficient number, since it is larger than the sum of its proper divisors (1).

311441413321 is an equidigital number, since it uses as much as digits as its factorization.

311441413321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 28.

Adding to 311441413321 its reverse (123314144113), we get a palindrome (434755557434).

The spelling of 311441413321 in words is "three hundred eleven billion, four hundred forty-one million, four hundred thirteen thousand, three hundred twenty-one".