133230331020000 has 240 divisors, whose sum is σ = 437206918401792. Its totient is φ = 35513065920000.

The previous prime is 133230331019999. The next prime is 133230331020041. The reversal of 133230331020000 is 20133032331.

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

It is a super-2 number, since 2×133230331020000² (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 39 ways as a sum of consecutive naturals, for example, 141791737 + ... + 142728263.

Almost surely, 2^{133230331020000} is an apocalyptic number.

133230331020000 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 133230331020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218603459200896).

133230331020000 is an abundant number, since it is smaller than the sum of its proper divisors (303976587381792).

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

133230331020000 is an equidigital number, since it uses as much as digits as its factorization.

133230331020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938931 (or 938908 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 133230331020000 its reverse (20133032331), we get a palindrome (133250464052331).

The spelling of 133230331020000 in words is "one hundred thirty-three trillion, two hundred thirty billion, three hundred thirty-one million, twenty thousand".