13013200177 has 2 divisors, whose sum is σ = 13013200178. Its totient is φ = 13013200176.

The previous prime is 13013200163. The next prime is 13013200259. The reversal of 13013200177 is 77100231031.

13013200177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10638684736 + 2374515441 = 103144^2 + 48729^2 .

It is a cyclic number.

It is not a de Polignac number, because 13013200177 - 2⁷ = 13013200049 is a prime.

It is not a weakly prime, because it can be changed into another prime (13013200157) 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, 6506600088 + 6506600089.

It is an arithmetic number, because the mean of its divisors is an integer number (6506600089).

Almost surely, 2^13013200177 is an apocalyptic number.

It is an amenable number.

13013200177 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013200177 is an equidigital number, since it uses as much as digits as its factorization.

13013200177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 882, while the sum is 25.

The spelling of 13013200177 in words is "thirteen billion, thirteen million, two hundred thousand, one hundred seventy-seven".