1133213200 has 360 divisors, whose sum is σ = 3549549600. Its totient is φ = 344494080.

The previous prime is 1133213117. The next prime is 1133213239. The reversal of 1133213200 is 23123311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 6330711 + ... + 6330889.

It is an arithmetic number, because the mean of its divisors is an integer number (9859860).

Almost surely, 2^1133213200 is an apocalyptic number.

1133213200 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 1133213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774774800).

1133213200 is an abundant number, since it is smaller than the sum of its proper divisors (2416336400).

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

1133213200 is a wasteful number, since it uses less digits than its factorization.

1133213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1133213200 is about 33663.2321680495. The cubic root of 1133213200 is about 1042.5667614966.

Adding to 1133213200 its reverse (23123311), we get a palindrome (1156336511).

The spelling of 1133213200 in words is "one billion, one hundred thirty-three million, two hundred thirteen thousand, two hundred".