11133330331200 has 672 divisors, whose sum is σ = 46163601530880. Its totient is φ = 2281723084800.

The previous prime is 11133330331199. The next prime is 11133330331217. The reversal of 11133330331200 is 213303333111.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26774481 + ... + 27187119.

Almost surely, 2^{11133330331200} is an apocalyptic number.

11133330331200 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 11133330331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23081800765440).

11133330331200 is an abundant number, since it is smaller than the sum of its proper divisors (35030271199680).

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

11133330331200 is a wasteful number, since it uses less digits than its factorization.

11133330331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412755 (or 412740 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 11133330331200 its reverse (213303333111), we get a palindrome (11346633664311).

The spelling of 11133330331200 in words is "eleven trillion, one hundred thirty-three billion, three hundred thirty million, three hundred thirty-one thousand, two hundred".