13257768545233 has 2 divisors, whose sum is σ = 13257768545234. Its totient is φ = 13257768545232.

The previous prime is 13257768545221. The next prime is 13257768545293. The reversal of 13257768545233 is 33254586775231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9241800641089 + 4015967904144 = 3040033^2 + 2003988^2 .

It is a cyclic number.

It is not a de Polignac number, because 13257768545233 - 2⁹ = 13257768544721 is a prime.

It is not a weakly prime, because it can be changed into another prime (13257768545293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6628884272616 + 6628884272617.

It is an arithmetic number, because the mean of its divisors is an integer number (6628884272617).

Almost surely, 2^{13257768545233} is an apocalyptic number.

It is an amenable number.

13257768545233 is a deficient number, since it is larger than the sum of its proper divisors (1).

13257768545233 is an equidigital number, since it uses as much as digits as its factorization.

13257768545233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 127008000, while the sum is 61.

The spelling of 13257768545233 in words is "thirteen trillion, two hundred fifty-seven billion, seven hundred sixty-eight million, five hundred forty-five thousand, two hundred thirty-three".