13003 has 2 divisors, whose sum is σ = 13004. Its totient is φ = 13002.

The previous prime is 13001. The next prime is 13007. The reversal of 13003 is 30031.

It is a happy number.

13003 is nontrivially palindromic in base 8.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13003 - 2¹ = 13001 is a prime.

Together with 13001, it forms a pair of twin primes.

13003 is an undulating number in base 8.

It is a nialpdrome in base 11.

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, 6501 + 6502.

It is an arithmetic number, because the mean of its divisors is an integer number (6502).

2¹³⁰⁰³ is an apocalyptic number.

13003 is a deficient number, since it is larger than the sum of its proper divisors (1).

13003 is an equidigital number, since it uses as much as digits as its factorization.

13003 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 13003 is about 114.0306976213. The cubic root of 13003 is about 23.5151554571.

Adding to 13003 its reverse (30031), we get a palindrome (43034).

The spelling of 13003 in words is "thirteen thousand, three".