13133 has 4 divisors (see below), whose sum is σ = 13728. Its totient is φ = 12540.

The previous prime is 13127. The next prime is 13147. The reversal of 13133 is 33131.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 33131 = 7 ⋅4733.

It is a cyclic number.

It is not a de Polignac number, because 13133 - 2¹⁰ = 12109 is a prime.

It is a d-powerful number, because it can be written as 1 + 3² + 1 + 3⁸ + 3⁸ .

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13103) 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, 263 + ... + 308.

It is an arithmetic number, because the mean of its divisors is an integer number (3432).

It is an amenable number.

13133 is a deficient number, since it is larger than the sum of its proper divisors (595).

13133 is an equidigital number, since it uses as much as digits as its factorization.

13133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594.

The product of its digits is 27, while the sum is 11.

The square root of 13133 is about 114.5993019176. The cubic root of 13133 is about 23.5932615062.

Adding to 13133 its reverse (33131), we get a palindrome (46264).

The spelling of 13133 in words is "thirteen thousand, one hundred thirty-three".