11133 has 6 divisors (see below), whose sum is σ = 16094. Its totient is φ = 7416.

The previous prime is 11131. The next prime is 11149. The reversal of 11133 is 33111.

It can be written as a sum of positive squares in only one way, i.e., 10404 + 729 = 102^2 + 27^2 .

It is not a de Polignac number, because 11133 - 2¹ = 11131 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: 1237 = 11133 / (1 + 1 + 1 + 3 + 3).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a Duffinian number.

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131) 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, 610 + ... + 627.

2¹¹¹³³ is an apocalyptic number.

It is an amenable number.

11133 is a deficient number, since it is larger than the sum of its proper divisors (4961).

11133 is a wasteful number, since it uses less digits than its factorization.

11133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1240 counting only the distinct ones).

The product of its digits is 9, while the sum is 9.

The square root of 11133 is about 105.5130323704. The cubic root of 11133 is about 22.3290752012.

Adding to 11133 its reverse (33111), we get a palindrome (44244).

It can be divided in two parts, 111 and 33, that multiplied together give a palindrome (3663).

The spelling of 11133 in words is "eleven thousand, one hundred thirty-three".