1133311200 has 432 divisors, whose sum is σ = 4488462720. Its totient is φ = 247188480.

The previous prime is 1133311129. The next prime is 1133311219. The reversal of 1133311200 is 21133311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1133311200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2704591 + ... + 2705009.

It is an arithmetic number, because the mean of its divisors is an integer number (10389960).

Almost surely, 2^1133311200 is an apocalyptic number.

1133311200 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 1133311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244231360).

1133311200 is an abundant number, since it is smaller than the sum of its proper divisors (3355151520).

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

1133311200 is a wasteful number, since it uses less digits than its factorization.

1133311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1133311200 is about 33664.6877306177. The cubic root of 1133311200 is about 1042.5968142696.

Adding to 1133311200 its reverse (21133311), we get a palindrome (1154444511).

The spelling of 1133311200 in words is "one billion, one hundred thirty-three million, three hundred eleven thousand, two hundred".