11133300 has 144 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 2672640.

The previous prime is 11133281. The next prime is 11133319. The reversal of 11133300 is 333111.

11133300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11133281) and next prime (11133319).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188671 + ... + 188729.

It is an arithmetic number, because the mean of its divisors is an integer number (247380).

Almost surely, 2^11133300 is an apocalyptic number.

11133300 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 11133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

11133300 is an abundant number, since it is smaller than the sum of its proper divisors (24489420).

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

11133300 is a wasteful number, since it uses less digits than its factorization.

11133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 11133300 is about 3336.6600066534. The cubic root of 11133300 is about 223.2927576591.

Adding to 11133300 its reverse (333111), we get a palindrome (11466411).

It can be divided in two parts, 111 and 33300, that added together give a triangular number (33411 = T₂₅₈).

The spelling of 11133300 in words is "eleven million, one hundred thirty-three thousand, three hundred".