13381765965997 has 12 divisors (see below), whose sum is σ = 15840335811580. Its totient is φ = 11229453956160.

The previous prime is 13381765965973. The next prime is 13381765966067. The reversal of 13381765965997 is 79956956718331.

13381765965997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3583244558916 + 9798521407081 = 1892946^2 + 3130259^2 .

It is not a de Polignac number, because 13381765965997 - 2³⁹ = 12832010152109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13381765965697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4253579472 + ... + 4253582617.

Almost surely, 2^{13381765965997} is an apocalyptic number.

It is an amenable number.

13381765965997 is a deficient number, since it is larger than the sum of its proper divisors (2458569845583).

13381765965997 is a wasteful number, since it uses less digits than its factorization.

13381765965997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8507162124 (or 8507162113 counting only the distinct ones).

The product of its digits is 2314720800, while the sum is 79.

The spelling of 13381765965997 in words is "thirteen trillion, three hundred eighty-one billion, seven hundred sixty-five million, nine hundred sixty-five thousand, nine hundred ninety-seven".