13125442513177 has 2 divisors, whose sum is σ = 13125442513178. Its totient is φ = 13125442513176.

The previous prime is 13125442513163. The next prime is 13125442513187. The reversal of 13125442513177 is 77131524452131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9644602291776 + 3480840221401 = 3105576^2 + 1865701^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13125442513177 is a prime.

It is not a weakly prime, because it can be changed into another prime (13125442513187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6562721256588 + 6562721256589.

It is an arithmetic number, because the mean of its divisors is an integer number (6562721256589).

Almost surely, 2^{13125442513177} is an apocalyptic number.

It is an amenable number.

13125442513177 is a deficient number, since it is larger than the sum of its proper divisors (1).

13125442513177 is an equidigital number, since it uses as much as digits as its factorization.

13125442513177 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 705600, while the sum is 46.

The spelling of 13125442513177 in words is "thirteen trillion, one hundred twenty-five billion, four hundred forty-two million, five hundred thirteen thousand, one hundred seventy-seven".