13013 has 12 divisors (see below), whose sum is σ = 17568. Its totient is φ = 9360.

The previous prime is 13009. The next prime is 13033. The reversal of 13013 is 31031.

It is not a de Polignac number, because 13013 - 2² = 13009 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 995 + ... + 1007.

It is an arithmetic number, because the mean of its divisors is an integer number (1464).

2¹³⁰¹³ is an apocalyptic number.

13013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13013 is a deficient number, since it is larger than the sum of its proper divisors (4555).

13013 is a wasteful number, since it uses less digits than its factorization.

13013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 13013 is about 114.0745370361. The cubic root of 13013 is about 23.5211820484.

Adding to 13013 its reverse (31031), we get a palindrome (44044).

The spelling of 13013 in words is "thirteen thousand, thirteen".