13001322010289 has 2 divisors, whose sum is σ = 13001322010290. Its totient is φ = 13001322010288.

The previous prime is 13001322010279. The next prime is 13001322010309. The reversal of 13001322010289 is 98201022310031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9103133779600 + 3898188230689 = 3017140^2 + 1974383^2 .

It is a cyclic number.

It is not a de Polignac number, because 13001322010289 - 2²⁸ = 13001053574833 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13001322010279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500661005144 + 6500661005145.

It is an arithmetic number, because the mean of its divisors is an integer number (6500661005145).

Almost surely, 2^{13001322010289} is an apocalyptic number.

It is an amenable number.

13001322010289 is a deficient number, since it is larger than the sum of its proper divisors (1).

13001322010289 is an equidigital number, since it uses as much as digits as its factorization.

13001322010289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 13001322010289 in words is "thirteen trillion, one billion, three hundred twenty-two million, ten thousand, two hundred eighty-nine".