11288133 has 8 divisors (see below), whose sum is σ = 16723200. Its totient is φ = 7525404.

The previous prime is 11288117. The next prime is 11288171. The reversal of 11288133 is 33188211.

11288133 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11288133 - 2⁴ = 11288117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 418079 = 11288133 / (1 + 1 + 2 + 8 + 8 + 1 + 3 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 11288097 and 11288106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11288113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209013 + ... + 209066.

It is an arithmetic number, because the mean of its divisors is an integer number (2090400).

Almost surely, 2^11288133 is an apocalyptic number.

It is an amenable number.

11288133 is a deficient number, since it is larger than the sum of its proper divisors (5435067).

11288133 is an equidigital number, since it uses as much as digits as its factorization.

11288133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418088 (or 418082 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 11288133 is about 3359.7816893364. The cubic root of 11288133 is about 224.3231213097.

It can be divided in two parts, 1128 and 8133, that added together give a cube (9261 = 21³).

The spelling of 11288133 in words is "eleven million, two hundred eighty-eight thousand, one hundred thirty-three".