133333333200000 has 768 divisors, whose sum is σ = 505161873820800. Its totient is φ = 34594490880000.

The previous prime is 133333333199987. The next prime is 133333333200007. The reversal of 133333333200000 is 2333333331.

133333333200000 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 3 + 333 + 320 + 0 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (133333333200007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 399433167 + ... + 399766833.

Almost surely, 2^{133333333200000} is an apocalyptic number.

133333333200000 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 133333333200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252580936910400).

133333333200000 is an abundant number, since it is smaller than the sum of its proper divisors (371828540620800).

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

133333333200000 is an frugal number, since it uses more digits than its factorization.

133333333200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333752 (or 333714 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 27.

Adding to 133333333200000 its reverse (2333333331), we get a palindrome (133335666533331).

It can be divided in two parts, 133333 and 333200000, that added together give a palindrome (333333333).

The spelling of 133333333200000 in words is "one hundred thirty-three trillion, three hundred thirty-three billion, three hundred thirty-three million, two hundred thousand".