13261335216165 has 48 divisors (see below), whose sum is σ = 23064965758848. Its totient is φ = 7048551374208.

The previous prime is 13261335216083. The next prime is 13261335216169. The reversal of 13261335216165 is 56161253316231.

13261335216165 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 1 + 3 + 3 + 5 + 21 + 616 + 5 = 666.

It is not a de Polignac number, because 13261335216165 - 2¹⁷ = 13261335085093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13261335216165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13261335216169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15650922 + ... + 16476468.

It is an arithmetic number, because the mean of its divisors is an integer number (480520119976).

Almost surely, 2^{13261335216165} is an apocalyptic number.

13261335216165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13261335216165 is a deficient number, since it is larger than the sum of its proper divisors (9803630542683).

13261335216165 is a wasteful number, since it uses less digits than its factorization.

13261335216165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826778 (or 826775 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The spelling of 13261335216165 in words is "thirteen trillion, two hundred sixty-one billion, three hundred thirty-five million, two hundred sixteen thousand, one hundred sixty-five".