133221320000 has 140 divisors (see below), whose sum is σ = 330708105156. Its totient is φ = 53230080000.

The previous prime is 133221319963. The next prime is 133221320021. The reversal of 133221320000 is 23122331.

It can be written as a sum of positive squares in 10 ways, for example, as 118853941504 + 14367378496 = 344752^2 + 119864^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69639044 + ... + 69640956.

Almost surely, 2^133221320000 is an apocalyptic number.

133221320000 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 133221320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165354052578).

133221320000 is an abundant number, since it is smaller than the sum of its proper divisors (197486785156).

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

133221320000 is an equidigital number, since it uses as much as digits as its factorization.

133221320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 133221320000 its reverse (23122331), we get a palindrome (133244442331).

The spelling of 133221320000 in words is "one hundred thirty-three billion, two hundred twenty-one million, three hundred twenty thousand".