13005713 has 4 divisors (see below), whose sum is σ = 14863680. Its totient is φ = 11147748.

The previous prime is 13005703. The next prime is 13005719. The reversal of 13005713 is 31750031.

It is a happy number.

13005713 is digitally balanced in base 2 and base 3, 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.

It is a cyclic number.

It is not a de Polignac number, because 13005713 - 2⁸ = 13005457 is a prime.

It is a super-4 number, since 4×13005713⁴ (a number of 30 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13005719) 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, 928973 + ... + 928986.

It is an arithmetic number, because the mean of its divisors is an integer number (3715920).

Almost surely, 2^13005713 is an apocalyptic number.

It is an amenable number.

13005713 is a deficient number, since it is larger than the sum of its proper divisors (1857967).

13005713 is an equidigital number, since it uses as much as digits as its factorization.

13005713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857966.

The product of its (nonzero) digits is 315, while the sum is 20.

The square root of 13005713 is about 3606.3434389975. The cubic root of 13005713 is about 235.1679077663.

Adding to 13005713 its reverse (31750031), we get a palindrome (44755744).

The spelling of 13005713 in words is "thirteen million, five thousand, seven hundred thirteen".