13301221322321 has 2 divisors, whose sum is σ = 13301221322322. Its totient is φ = 13301221322320.

The previous prime is 13301221322309. The next prime is 13301221322353. The reversal of 13301221322321 is 12322312210331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13008825900625 + 292395421696 = 3606775^2 + 540736^2 .

It is a cyclic number.

It is not a de Polignac number, because 13301221322321 - 2³⁸ = 13026343415377 is a prime.

It is not a weakly prime, because it can be changed into another prime (13301221322371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650610661160 + 6650610661161.

It is an arithmetic number, because the mean of its divisors is an integer number (6650610661161).

Almost surely, 2^{13301221322321} is an apocalyptic number.

It is an amenable number.

13301221322321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13301221322321 is an equidigital number, since it uses as much as digits as its factorization.

13301221322321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 13301221322321 its reverse (12322312210331), we get a palindrome (25623533532652).

The spelling of 13301221322321 in words is "thirteen trillion, three hundred one billion, two hundred twenty-one million, three hundred twenty-two thousand, three hundred twenty-one".