311441331020221 has 2 divisors, whose sum is σ = 311441331020222. Its totient is φ = 311441331020220.

The previous prime is 311441331020119. The next prime is 311441331020279. The reversal of 311441331020221 is 122020133144113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 191542444492996 + 119898886527225 = 13839886^2 + 10949835^2 .

It is a cyclic number.

It is not a de Polignac number, because 311441331020221 - 2³⁷ = 311303892066749 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 311441331020221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311441331027221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155720665510110 + 155720665510111.

It is an arithmetic number, because the mean of its divisors is an integer number (155720665510111).

Almost surely, 2^{311441331020221} is an apocalyptic number.

It is an amenable number.

311441331020221 is a deficient number, since it is larger than the sum of its proper divisors (1).

311441331020221 is an equidigital number, since it uses as much as digits as its factorization.

311441331020221 is an odious number, because the sum of its binary digits is odd.

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

Adding to 311441331020221 its reverse (122020133144113), we get a palindrome (433461464164334).

The spelling of 311441331020221 in words is "three hundred eleven trillion, four hundred forty-one billion, three hundred thirty-one million, twenty thousand, two hundred twenty-one".