1133133031200 has 288 divisors, whose sum is σ = 3817424419200. Its totient is φ = 291604561920.

The previous prime is 1133133031187. The next prime is 1133133031241. The reversal of 1133133031200 is 21303313311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274430736 + ... + 274434864.

It is an arithmetic number, because the mean of its divisors is an integer number (13254945900).

Almost surely, 2^{1133133031200} is an apocalyptic number.

1133133031200 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 1133133031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908712209600).

1133133031200 is an abundant number, since it is smaller than the sum of its proper divisors (2684291388000).

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

1133133031200 is a wasteful number, since it uses less digits than its factorization.

1133133031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8124 (or 8111 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1133133031200 its reverse (21303313311), we get a palindrome (1154436344511).

The spelling of 1133133031200 in words is "one trillion, one hundred thirty-three billion, one hundred thirty-three million, thirty-one thousand, two hundred".