133123100033200 has 120 divisors (see below), whose sum is σ = 325871816270688. Its totient is φ = 52243082711040.

The previous prime is 133123100033153. The next prime is 133123100033201. The reversal of 133123100033200 is 2330001321331.

It is a super-2 number, since 2×133123100033200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133123100033201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1070601432 + ... + 1070725768.

Almost surely, 2^{133123100033200} is an apocalyptic number.

133123100033200 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 133123100033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162935908135344).

133123100033200 is an abundant number, since it is smaller than the sum of its proper divisors (192748716237488).

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

133123100033200 is a wasteful number, since it uses less digits than its factorization.

133123100033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174911 (or 174900 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 133123100033200 its reverse (2330001321331), we get a palindrome (135453101354531).

The spelling of 133123100033200 in words is "one hundred thirty-three trillion, one hundred twenty-three billion, one hundred million, thirty-three thousand, two hundred".