13013182177 has 2 divisors, whose sum is σ = 13013182178. Its totient is φ = 13013182176.

The previous prime is 13013182129. The next prime is 13013182211. The reversal of 13013182177 is 77128131031.

It is a happy number.

13013182177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (13013182211) can be obtained adding 13013182177 to its sum of digits (34).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12786860241 + 226321936 = 113079^2 + 15044^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13013182177 is a prime.

It is not a weakly prime, because it can be changed into another prime (13013182877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6506591088 + 6506591089.

It is an arithmetic number, because the mean of its divisors is an integer number (6506591089).

Almost surely, 2^13013182177 is an apocalyptic number.

It is an amenable number.

13013182177 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013182177 is an equidigital number, since it uses as much as digits as its factorization.

13013182177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 34.

The spelling of 13013182177 in words is "thirteen billion, thirteen million, one hundred eighty-two thousand, one hundred seventy-seven".