13033 has 2 divisors, whose sum is σ = 13034. Its totient is φ = 13032.

The previous prime is 13009. The next prime is 13037. The reversal of 13033 is 33031.

It is a happy number.

13033 is nontrivially palindromic in base 9.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11664 + 1369 = 108^2 + 37^2 .

It is a cyclic number.

It is not a de Polignac number, because 13033 - 2⁵ = 13001 is a prime.

It is a plaindrome in base 15.

It is a nialpdrome in base 12.

It is not a weakly prime, because it can be changed into another prime (13037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6516 + 6517.

It is an arithmetic number, because the mean of its divisors is an integer number (6517).

2¹³⁰³³ is an apocalyptic number.

It is an amenable number.

13033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13033 is an equidigital number, since it uses as much as digits as its factorization.

13033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 10.

The square root of 13033 is about 114.1621653614. The cubic root of 13033 is about 23.5332259748.

Adding to 13033 its reverse (33031), we get a palindrome (46064).

The spelling of 13033 in words is "thirteen thousand, thirty-three".