13006331553289 has 2 divisors, whose sum is σ = 13006331553290. Its totient is φ = 13006331553288.

The previous prime is 13006331553209. The next prime is 13006331553311. The reversal of 13006331553289 is 98235513360031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6687809766400 + 6318521786889 = 2586080^2 + 2513667^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13006331553289 is a prime.

It is not a weakly prime, because it can be changed into another prime (13006331553209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6503165776644 + 6503165776645.

It is an arithmetic number, because the mean of its divisors is an integer number (6503165776645).

Almost surely, 2^{13006331553289} is an apocalyptic number.

It is an amenable number.

13006331553289 is a deficient number, since it is larger than the sum of its proper divisors (1).

13006331553289 is an equidigital number, since it uses as much as digits as its factorization.

13006331553289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1749600, while the sum is 49.

The spelling of 13006331553289 in words is "thirteen trillion, six billion, three hundred thirty-one million, five hundred fifty-three thousand, two hundred eighty-nine".