13007 has 2 divisors, whose sum is σ = 13008. Its totient is φ = 13006.

The previous prime is 13003. The next prime is 13009. The reversal of 13007 is 70031.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13007 - 2² = 13003 is a prime.

Together with 13009, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₁₅₅₀ and since 13007 and 1550 have the same sum of digits, it is a Honaker prime.

It is a nialpdrome in base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6503 + 6504.

It is an arithmetic number, because the mean of its divisors is an integer number (6504).

2¹³⁰⁰⁷ is an apocalyptic number.

13007 is a deficient number, since it is larger than the sum of its proper divisors (1).

13007 is an equidigital number, since it uses as much as digits as its factorization.

13007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 11.

The square root of 13007 is about 114.0482354094. The cubic root of 13007 is about 23.5175664642.

Subtracting from 13007 its sum of digits (11), we obtain a square (12996 = 114²).

Adding to 13007 its reverse (70031), we get a palindrome (83038).

The spelling of 13007 in words is "thirteen thousand, seven".