133023222333000 has 768 divisors, whose sum is σ = 460091451456000. Its totient is φ = 34654853376000.

The previous prime is 133023222332983. The next prime is 133023222333119. The reversal of 133023222333000 is 333222320331.

133023222333000 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 2 + 322 + 2 + 3 + 330 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65560975986 + ... + 65560978014.

It is an arithmetic number, because the mean of its divisors is an integer number (599077410750).

Almost surely, 2^{133023222333000} is an apocalyptic number.

133023222333000 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 133023222333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230045725728000).

133023222333000 is an abundant number, since it is smaller than the sum of its proper divisors (327068229123000).

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

133023222333000 is a wasteful number, since it uses less digits than its factorization.

133023222333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 133023222333000 its reverse (333222320331), we get a palindrome (133356444653331).

The spelling of 133023222333000 in words is "one hundred thirty-three trillion, twenty-three billion, two hundred twenty-two million, three hundred thirty-three thousand".