13001321 has 2 divisors, whose sum is σ = 13001322. Its totient is φ = 13001320.

The previous prime is 13001291. The next prime is 13001323. The reversal of 13001321 is 12310031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9241600 + 3759721 = 3040^2 + 1939^2 .

It is an emirp because it is prime and its reverse (12310031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13001321 - 2¹⁰ = 13000297 is a prime.

Together with 13001323, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13001323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500660 + 6500661.

It is an arithmetic number, because the mean of its divisors is an integer number (6500661).

Almost surely, 2^13001321 is an apocalyptic number.

It is an amenable number.

13001321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13001321 is an equidigital number, since it uses as much as digits as its factorization.

13001321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 13001321 is about 3605.7344605503. The cubic root of 13001321 is about 235.1414328949.

Adding to 13001321 its reverse (12310031), we get a palindrome (25311352).

The spelling of 13001321 in words is "thirteen million, one thousand, three hundred twenty-one".