13013223252401 has 2 divisors, whose sum is σ = 13013223252402. Its totient is φ = 13013223252400.

The previous prime is 13013223252391. The next prime is 13013223252431. The reversal of 13013223252401 is 10425232231031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10752831280801 + 2260391971600 = 3279151^2 + 1503460^2 .

It is an emirp because it is prime and its reverse (10425232231031) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13013223252401 is a prime.

It is not a weakly prime, because it can be changed into another prime (13013223252431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6506611626200 + 6506611626201.

It is an arithmetic number, because the mean of its divisors is an integer number (6506611626201).

Almost surely, 2^{13013223252401} is an apocalyptic number.

It is an amenable number.

13013223252401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013223252401 is an equidigital number, since it uses as much as digits as its factorization.

13013223252401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 13013223252401 its reverse (10425232231031), we get a palindrome (23438455483432).

The spelling of 13013223252401 in words is "thirteen trillion, thirteen billion, two hundred twenty-three million, two hundred fifty-two thousand, four hundred one".