13003321331321 has 2 divisors, whose sum is σ = 13003321331322. Its totient is φ = 13003321331320.

The previous prime is 13003321331303. The next prime is 13003321331387. The reversal of 13003321331321 is 12313312330031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10603489690000 + 2399831641321 = 3256300^2 + 1549139^2 .

It is an emirp because it is prime and its reverse (12313312330031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13003321331321 - 2¹⁸ = 13003321069177 is a prime.

It is not a weakly prime, because it can be changed into another prime (13003321331521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6501660665660 + 6501660665661.

It is an arithmetic number, because the mean of its divisors is an integer number (6501660665661).

Almost surely, 2^{13003321331321} is an apocalyptic number.

It is an amenable number.

13003321331321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13003321331321 is an equidigital number, since it uses as much as digits as its factorization.

13003321331321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 13003321331321 its reverse (12313312330031), we get a palindrome (25316633661352).

The spelling of 13003321331321 in words is "thirteen trillion, three billion, three hundred twenty-one million, three hundred thirty-one thousand, three hundred twenty-one".