13311122120321 has 2 divisors, whose sum is σ = 13311122120322. Its totient is φ = 13311122120320.

The previous prime is 13311122120243. The next prime is 13311122120377. The reversal of 13311122120321 is 12302122111331.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11648814737296 + 1662307383025 = 3413036^2 + 1289305^2 .

It is a cyclic number.

It is not a de Polignac number, because 13311122120321 - 2²² = 13311117926017 is a prime.

It is a super-2 number, since 2×13311122120321² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13311122120221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655561060160 + 6655561060161.

It is an arithmetic number, because the mean of its divisors is an integer number (6655561060161).

Almost surely, 2^{13311122120321} is an apocalyptic number.

It is an amenable number.

13311122120321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13311122120321 is an equidigital number, since it uses as much as digits as its factorization.

13311122120321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 13311122120321 its reverse (12302122111331), we get a palindrome (25613244231652).

The spelling of 13311122120321 in words is "thirteen trillion, three hundred eleven billion, one hundred twenty-two million, one hundred twenty thousand, three hundred twenty-one".