13005913 has 4 divisors (see below), whose sum is σ = 13132288. Its totient is φ = 12879540.

The previous prime is 13005911. The next prime is 13005917. The reversal of 13005913 is 31950031.

13005913 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 31950031 = 61 ⋅523771.

It is a cyclic number.

It is not a de Polignac number, because 13005913 - 2¹ = 13005911 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13005911) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63033 + ... + 63238.

It is an arithmetic number, because the mean of its divisors is an integer number (3283072).

Almost surely, 2^13005913 is an apocalyptic number.

It is an amenable number.

13005913 is a deficient number, since it is larger than the sum of its proper divisors (126375).

13005913 is a wasteful number, since it uses less digits than its factorization.

13005913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126374.

The product of its (nonzero) digits is 405, while the sum is 22.

The square root of 13005913 is about 3606.3711678084. The cubic root of 13005913 is about 235.1691132197.

Adding to 13005913 its reverse (31950031), we get a palindrome (44955944).

The spelling of 13005913 in words is "thirteen million, five thousand, nine hundred thirteen".