13361664961 has 2 divisors, whose sum is σ = 13361664962. Its totient is φ = 13361664960.

The previous prime is 13361664941. The next prime is 13361664971. The reversal of 13361664961 is 16946616331.

It is a happy number.

13361664961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12651975361 + 709689600 = 112481^2 + 26640^2 .

It is a cyclic number.

It is not a de Polignac number, because 13361664961 - 2²⁵ = 13328110529 is a prime.

It is not a weakly prime, because it can be changed into another prime (13361664941) 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, 6680832480 + 6680832481.

It is an arithmetic number, because the mean of its divisors is an integer number (6680832481).

Almost surely, 2^13361664961 is an apocalyptic number.

It is an amenable number.

13361664961 is a deficient number, since it is larger than the sum of its proper divisors (1).

13361664961 is an equidigital number, since it uses as much as digits as its factorization.

13361664961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 419904, while the sum is 46.

The spelling of 13361664961 in words is "thirteen billion, three hundred sixty-one million, six hundred sixty-four thousand, nine hundred sixty-one".