13006 has 8 divisors (see below), whose sum is σ = 22320. Its totient is φ = 5568.

The previous prime is 13003. The next prime is 13007. The reversal of 13006 is 60031.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 12983 and 13001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001) 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, 451 + ... + 478.

It is an arithmetic number, because the mean of its divisors is an integer number (2790).

2¹³⁰⁰⁶ is an apocalyptic number.

13006 is a deficient number, since it is larger than the sum of its proper divisors (9314).

13006 is an equidigital number, since it uses as much as digits as its factorization.

13006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 13006 is about 114.0438512152. The cubic root of 13006 is about 23.5169637588.

Subtracting from 13006 its sum of digits (10), we obtain a square (12996 = 114²).

Adding to 13006 its reverse (60031), we get a palindrome (73037).

The spelling of 13006 in words is "thirteen thousand, six".