11133000 has 96 divisors (see below), whose sum is σ = 37659960. Its totient is φ = 2966400.

The previous prime is 11132959. The next prime is 11133007. The reversal of 11133000 is 33111.

It can be written as a sum of positive squares in 4 ways, for example, as 4691556 + 6441444 = 2166^2 + 2538^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11133007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8382 + ... + 9618.

Almost surely, 2^11133000 is an apocalyptic number.

11133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18829980).

11133000 is an abundant number, since it is smaller than the sum of its proper divisors (26526960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11133000 is a wasteful number, since it uses less digits than its factorization.

11133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1247 counting only the distinct ones).

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

The square root of 11133000 is about 3336.6150512158. The cubic root of 11133000 is about 223.2907520115.

Adding to 11133000 its reverse (33111), we get a palindrome (11166111).

The spelling of 11133000 in words is "eleven million, one hundred thirty-three thousand".