133233332320000 has 540 divisors, whose sum is σ = 365807164992808. Its totient is φ = 48379161600000.

The previous prime is 133233332319959. The next prime is 133233332320021. The reversal of 133233332320000 is 23233332331.

It is a super-2 number, since 2×133233332320000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14655515455 + ... + 14655524545.

Almost surely, 2^{133233332320000} is an apocalyptic number.

133233332320000 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 133233332320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182903582496404).

133233332320000 is an abundant number, since it is smaller than the sum of its proper divisors (232573832672808).

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

133233332320000 is an frugal number, since it uses more digits than its factorization.

133233332320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9906 (or 9866 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 28.

Adding to 133233332320000 its reverse (23233332331), we get a palindrome (133256565652331).

The spelling of 133233332320000 in words is "one hundred thirty-three trillion, two hundred thirty-three billion, three hundred thirty-two million, three hundred twenty thousand".