12013 has 4 divisors (see below), whose sum is σ = 12348. Its totient is φ = 11680.

The previous prime is 12011. The next prime is 12037. The reversal of 12013 is 31021.

12013 = 77² + 78².

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31021 = 67 ⋅463.

It can be written as a sum of positive squares in 2 ways, for example, as 5929 + 6084 = 77^2 + 78^2 .

It is a cyclic number.

It is not a de Polignac number, because 12013 - 2¹ = 12011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11987 and 12005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011) 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, 106 + ... + 187.

It is an arithmetic number, because the mean of its divisors is an integer number (3087).

2¹²⁰¹³ is an apocalyptic number.

12013 is the 78-th centered square number.

It is an amenable number.

12013 is a deficient number, since it is larger than the sum of its proper divisors (335).

12013 is an equidigital number, since it uses as much as digits as its factorization.

12013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 12013 is about 109.6038320498. The cubic root of 12013 is about 22.9025492481.

Adding to 12013 its reverse (31021), we get a palindrome (43034).

The spelling of 12013 in words is "twelve thousand, thirteen".