133332320000 has 540 divisors, whose sum is σ = 374526150768. Its totient is φ = 47308800000.

The previous prime is 133332319969. The next prime is 133332320021. The reversal of 133332320000 is 23233331.

133332320000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1374559952 + ... + 1374560048.

Almost surely, 2^133332320000 is an apocalyptic number.

133332320000 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 133332320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187263075384).

133332320000 is an abundant number, since it is smaller than the sum of its proper divisors (241193830768).

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

133332320000 is an frugal number, since it uses more digits than its factorization.

133332320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 133332320000 its reverse (23233331), we get a palindrome (133355553331).

The spelling of 133332320000 in words is "one hundred thirty-three billion, three hundred thirty-two million, three hundred twenty thousand".