133223323120200 has 480 divisors, whose sum is σ = 491596471693800. Its totient is φ = 33374114242560.

The previous prime is 133223323120159. The next prime is 133223323120301. The reversal of 133223323120200 is 2021323322331.

133223323120200 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 2 + 332 + 3 + 120 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 25965526627044 + 107257796493156 = 5095638^2 + 10356534^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 119 ways as a sum of consecutive naturals, for example, 13550512 + ... + 21214688.

Almost surely, 2^{133223323120200} is an apocalyptic number.

133223323120200 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 133223323120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245798235846900).

133223323120200 is an abundant number, since it is smaller than the sum of its proper divisors (358373148573600).

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

133223323120200 is a wasteful number, since it uses less digits than its factorization.

133223323120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7664271 (or 7664253 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 133223323120200 its reverse (2021323322331), we get a palindrome (135244646442531).

The spelling of 133223323120200 in words is "one hundred thirty-three trillion, two hundred twenty-three billion, three hundred twenty-three million, one hundred twenty thousand, two hundred".