133133333300100 has 576 divisors, whose sum is σ = 502571920005120. Its totient is φ = 29595645734400.

The previous prime is 133133333300089. The next prime is 133133333300113. The reversal of 133133333300100 is 1003333331331.

133133333300100 is a `hidden beast` number, since 1 + 3 + 3 + 13 + 3 + 333 + 300 + 10 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1725134515 + ... + 1725211685.

Almost surely, 2^{133133333300100} is an apocalyptic number.

133133333300100 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 133133333300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251285960002560).

133133333300100 is an abundant number, since it is smaller than the sum of its proper divisors (369438586705020).

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

133133333300100 is a wasteful number, since it uses less digits than its factorization.

133133333300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79705 (or 79692 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 27.

Adding to 133133333300100 its reverse (1003333331331), we get a palindrome (134136666631431).

The spelling of 133133333300100 in words is "one hundred thirty-three trillion, one hundred thirty-three billion, three hundred thirty-three million, three hundred thousand, one hundred".