13044313132289 has 2 divisors, whose sum is σ = 13044313132290. Its totient is φ = 13044313132288.

The previous prime is 13044313132261. The next prime is 13044313132307. The reversal of 13044313132289 is 98223131344031.

13044313132289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11601210663025 + 1443102469264 = 3406055^2 + 1201292^2 .

It is a cyclic number.

It is not a de Polignac number, because 13044313132289 - 2³² = 13040018164993 is a prime.

It is not a weakly prime, because it can be changed into another prime (13044319132289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6522156566144 + 6522156566145.

It is an arithmetic number, because the mean of its divisors is an integer number (6522156566145).

Almost surely, 2^{13044313132289} is an apocalyptic number.

It is an amenable number.

13044313132289 is a deficient number, since it is larger than the sum of its proper divisors (1).

13044313132289 is an equidigital number, since it uses as much as digits as its factorization.

13044313132289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 13044313132289 in words is "thirteen trillion, forty-four billion, three hundred thirteen million, one hundred thirty-two thousand, two hundred eighty-nine".