11133900 has 108 divisors (see below), whose sum is σ = 35544600. Its totient is φ = 2914560.

The previous prime is 11133841. The next prime is 11133907. The reversal of 11133900 is 933111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11133907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80031 + ... + 80169.

Almost surely, 2^11133900 is an apocalyptic number.

11133900 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 11133900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17772300).

11133900 is an abundant number, since it is smaller than the sum of its proper divisors (24410700).

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

11133900 is a wasteful number, since it uses less digits than its factorization.

11133900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 11133900 is about 3336.7499157114. The cubic root of 11133900 is about 223.2967688462.

The spelling of 11133900 in words is "eleven million, one hundred thirty-three thousand, nine hundred".