13121332321 has 2 divisors, whose sum is σ = 13121332322. Its totient is φ = 13121332320.

The previous prime is 13121332319. The next prime is 13121332333. The reversal of 13121332321 is 12323312131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12896782096 + 224550225 = 113564^2 + 14985^2 .

It is a cyclic number.

It is not a de Polignac number, because 13121332321 - 2¹ = 13121332319 is a prime.

Together with 13121332319, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 13121332292 and 13121332301.

It is not a weakly prime, because it can be changed into another prime (13121332361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560666160 + 6560666161.

It is an arithmetic number, because the mean of its divisors is an integer number (6560666161).

Almost surely, 2^13121332321 is an apocalyptic number.

It is an amenable number.

13121332321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121332321 is an equidigital number, since it uses as much as digits as its factorization.

13121332321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 22.

Adding to 13121332321 its reverse (12323312131), we get a palindrome (25444644452).

The spelling of 13121332321 in words is "thirteen billion, one hundred twenty-one million, three hundred thirty-two thousand, three hundred twenty-one".