13311013220321 has 2 divisors, whose sum is σ = 13311013220322. Its totient is φ = 13311013220320.

The previous prime is 13311013220213. The next prime is 13311013220357. The reversal of 13311013220321 is 12302231011331.

Together with previous prime (13311013220213) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10662582460321 + 2648430760000 = 3265361^2 + 1627400^2 .

It is an emirp because it is prime and its reverse (12302231011331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13311013220321 - 2³⁴ = 13293833351137 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13311013220371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655506610160 + 6655506610161.

It is an arithmetic number, because the mean of its divisors is an integer number (6655506610161).

Almost surely, 2^{13311013220321} is an apocalyptic number.

It is an amenable number.

13311013220321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13311013220321 is an equidigital number, since it uses as much as digits as its factorization.

13311013220321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13311013220321 its reverse (12302231011331), we get a palindrome (25613244231652).

The spelling of 13311013220321 in words is "thirteen trillion, three hundred eleven billion, thirteen million, two hundred twenty thousand, three hundred twenty-one".