11133500 has 48 divisors (see below), whose sum is σ = 27797952. Its totient is φ = 3816000.

The previous prime is 11133481. The next prime is 11133539. The reversal of 11133500 is 533111.

11133500 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

11133500 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1910 + ... + 5090.

It is an arithmetic number, because the mean of its divisors is an integer number (579124).

Almost surely, 2^11133500 is an apocalyptic number.

11133500 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 11133500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898976).

11133500 is an abundant number, since it is smaller than the sum of its proper divisors (16664452).

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

11133500 is a wasteful number, since it uses less digits than its factorization.

11133500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3207 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 11133500 is about 3336.6899766086. The cubic root of 11133500 is about 223.2940947375.

Adding to 11133500 its reverse (533111), we get a palindrome (11666611).

The spelling of 11133500 in words is "eleven million, one hundred thirty-three thousand, five hundred".