13005117 has 24 divisors (see below), whose sum is σ = 19699680. Its totient is φ = 8573040.

The previous prime is 13005103. The next prime is 13005121. The reversal of 13005117 is 71150031.

It is a happy number.

It is not a de Polignac number, because 13005117 - 2⁶ = 13005053 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13005117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26242 + ... + 26732.

It is an arithmetic number, because the mean of its divisors is an integer number (820820).

Almost surely, 2^13005117 is an apocalyptic number.

It is an amenable number.

13005117 is a deficient number, since it is larger than the sum of its proper divisors (6694563).

13005117 is an equidigital number, since it uses as much as digits as its factorization.

13005117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 13005117 is about 3606.2608058764. The cubic root of 13005117 is about 235.1643154421.

Adding to 13005117 its reverse (71150031), we get a palindrome (84155148).

The spelling of 13005117 in words is "thirteen million, five thousand, one hundred seventeen".