133133113200 has 240 divisors, whose sum is σ = 451925333856. Its totient is φ = 33386496000.

The previous prime is 133133113193. The next prime is 133133113273. The reversal of 133133113200 is 2311331331.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 38778684 + ... + 38782116.

Almost surely, 2^133133113200 is an apocalyptic number.

133133113200 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 133133113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225962666928).

133133113200 is an abundant number, since it is smaller than the sum of its proper divisors (318792220656).

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

133133113200 is a wasteful number, since it uses less digits than its factorization.

133133113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5372 (or 5361 counting only the distinct ones).

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

Adding to 133133113200 its reverse (2311331331), we get a palindrome (135444444531).

The spelling of 133133113200 in words is "one hundred thirty-three billion, one hundred thirty-three million, one hundred thirteen thousand, two hundred".