13122221333321 has 2 divisors, whose sum is σ = 13122221333322. Its totient is φ = 13122221333320.

The previous prime is 13122221333281. The next prime is 13122221333381. The reversal of 13122221333321 is 12333312222131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12732301015225 + 389920318096 = 3568235^2 + 624436^2 .

It is a cyclic number.

It is not a de Polignac number, because 13122221333321 - 2³⁸ = 12847343426377 is a prime.

It is not a weakly prime, because it can be changed into another prime (13122221333381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561110666660 + 6561110666661.

It is an arithmetic number, because the mean of its divisors is an integer number (6561110666661).

Almost surely, 2^{13122221333321} is an apocalyptic number.

It is an amenable number.

13122221333321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122221333321 is an equidigital number, since it uses as much as digits as its factorization.

13122221333321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 29.

Adding to 13122221333321 its reverse (12333312222131), we get a palindrome (25455533555452).

The spelling of 13122221333321 in words is "thirteen trillion, one hundred twenty-two billion, two hundred twenty-one million, three hundred thirty-three thousand, three hundred twenty-one".