13010023121321 has 2 divisors, whose sum is σ = 13010023121322. Its totient is φ = 13010023121320.

The previous prime is 13010023121309. The next prime is 13010023121339. The reversal of 13010023121321 is 12312132001031.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11023967095696 + 1986056025625 = 3320236^2 + 1409275^2 .

It is a cyclic number.

It is not a de Polignac number, because 13010023121321 - 2²⁶ = 13009956012457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13010023121293 and 13010023121302.

It is not a weakly prime, because it can be changed into another prime (13010023021321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6505011560660 + 6505011560661.

It is an arithmetic number, because the mean of its divisors is an integer number (6505011560661).

Almost surely, 2^{13010023121321} is an apocalyptic number.

It is an amenable number.

13010023121321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13010023121321 is an equidigital number, since it uses as much as digits as its factorization.

13010023121321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13010023121321 its reverse (12312132001031), we get a palindrome (25322155122352).

The spelling of 13010023121321 in words is "thirteen trillion, ten billion, twenty-three million, one hundred twenty-one thousand, three hundred twenty-one".