13000065 has 32 divisors (see below), whose sum is σ = 22592640. Its totient is φ = 6345216.

The previous prime is 13000049. The next prime is 13000069. The reversal of 13000065 is 56000031.

13000065 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13000065 - 2⁴ = 13000049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13000069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31581 + ... + 31989.

It is an arithmetic number, because the mean of its divisors is an integer number (706020).

Almost surely, 2^13000065 is an apocalyptic number.

13000065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13000065 is a deficient number, since it is larger than the sum of its proper divisors (9592575).

13000065 is a wasteful number, since it uses less digits than its factorization.

13000065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 13000065 is about 3605.5602893309. The cubic root of 13000065 is about 235.1338606605.

Adding to 13000065 its reverse (56000031), we get a palindrome (69000096).

The spelling of 13000065 in words is "thirteen million, sixty-five", and thus it is an aban number and an uban number.