133011000322200 has 2304 divisors, whose sum is σ = 616954162406400. Its totient is φ = 24783368601600.

The previous prime is 133011000322181. The next prime is 133011000322241. The reversal of 133011000322200 is 2223000110331.

133011000322200 is a `hidden beast` number, since 1 + 3 + 30 + 110 + 0 + 0 + 322 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 56866608631 + ... + 56866610969.

It is an arithmetic number, because the mean of its divisors is an integer number (267775244100).

Almost surely, 2^{133011000322200} is an apocalyptic number.

133011000322200 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 133011000322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308477081203200).

133011000322200 is an abundant number, since it is smaller than the sum of its proper divisors (483943162084200).

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

133011000322200 is a wasteful number, since it uses less digits than its factorization.

133011000322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133011000322200 its reverse (2223000110331), we get a palindrome (135234000432531).

The spelling of 133011000322200 in words is "one hundred thirty-three trillion, eleven billion, three hundred twenty-two thousand, two hundred".