13005013 has 4 divisors (see below), whose sum is σ = 14862880. Its totient is φ = 11147148.

The previous prime is 13005011. The next prime is 13005029. The reversal of 13005013 is 31050031.

13005013 is digitally balanced in base 2 and base 8, because in such bases 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: 31050031 = 439 ⋅70729.

It is a cyclic number.

It is not a de Polignac number, because 13005013 - 2¹ = 13005011 is a prime.

It is a Duffinian number.

13005013 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 13004984 and 13005002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005011) 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, 928923 + ... + 928936.

It is an arithmetic number, because the mean of its divisors is an integer number (3715720).

Almost surely, 2^13005013 is an apocalyptic number.

It is an amenable number.

13005013 is a deficient number, since it is larger than the sum of its proper divisors (1857867).

13005013 is an equidigital number, since it uses as much as digits as its factorization.

13005013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857866.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 13005013 is about 3606.2463864800. The cubic root of 13005013 is about 235.1636885823.

Adding to 13005013 its reverse (31050031), we get a palindrome (44055044).

The spelling of 13005013 in words is "thirteen million, five thousand, thirteen".