23013 has 6 divisors (see below), whose sum is σ = 33254. Its totient is φ = 15336.

The previous prime is 23011. The next prime is 23017. The reversal of 23013 is 31032.

It is a happy number.

23013 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in only one way, i.e., 19044 + 3969 = 138^2 + 63^2 .

It is not a de Polignac number, because 23013 - 2¹ = 23011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 2557 = 23013 / (2 + 3 + 0 + 1 + 3).

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 22986 and 23004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1270 + ... + 1287.

2²³⁰¹³ is an apocalyptic number.

It is an amenable number.

23013 is a deficient number, since it is larger than the sum of its proper divisors (10241).

23013 is a wasteful number, since it uses less digits than its factorization.

23013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 23013 is about 151.7003625572. The cubic root of 23013 is about 28.4440267996. Note that the first 3 decimals are identical.

Adding to 23013 its reverse (31032), we get a palindrome (54045).

It can be divided in two parts, 2301 and 3, that multiplied together give a triangular number (6903 = T₁₁₇).

The spelling of 23013 in words is "twenty-three thousand, thirteen".