133133220000 has 1200 divisors, whose sum is σ = 553252702464. Its totient is φ = 31104000000.

The previous prime is 133133219951. The next prime is 133133220019. The reversal of 133133220000 is 22331331.

133133220000 is a `hidden beast` number, since 1 + 331 + 332 + 2 + 0 + 0 + 0 + 0 = 666.

133133220000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 199 ways as a sum of consecutive naturals, for example, 552419880 + ... + 552420120.

Almost surely, 2^133133220000 is an apocalyptic number.

133133220000 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 133133220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276626351232).

133133220000 is an abundant number, since it is smaller than the sum of its proper divisors (420119482464).

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

133133220000 is a wasteful number, since it uses less digits than its factorization.

133133220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133133220000 its reverse (22331331), we get a palindrome (133155551331).

The spelling of 133133220000 in words is "one hundred thirty-three billion, one hundred thirty-three million, two hundred twenty thousand".