13013330023321 has 2 divisors, whose sum is σ = 13013330023322. Its totient is φ = 13013330023320.

The previous prime is 13013330023319. The next prime is 13013330023327. The reversal of 13013330023321 is 12332003331031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10729136087296 + 2284193936025 = 3275536^2 + 1511355^2 .

It is a cyclic number.

It is not a de Polignac number, because 13013330023321 - 2¹ = 13013330023319 is a prime.

Together with 13013330023319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13013330023327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6506665011660 + 6506665011661.

It is an arithmetic number, because the mean of its divisors is an integer number (6506665011661).

Almost surely, 2^{13013330023321} is an apocalyptic number.

It is an amenable number.

13013330023321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013330023321 is an equidigital number, since it uses as much as digits as its factorization.

13013330023321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 13013330023321 its reverse (12332003331031), we get a palindrome (25345333354352).

The spelling of 13013330023321 in words is "thirteen trillion, thirteen billion, three hundred thirty million, twenty-three thousand, three hundred twenty-one".