133333100100 has 216 divisors, whose sum is σ = 429649584000. Its totient is φ = 34559965440.

The previous prime is 133333100029. The next prime is 133333100101. The reversal of 133333100100 is 1001333331.

133333100100 is a `hidden beast` number, since 1 + 333 + 331 + 0 + 0 + 1 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (133333100101) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 66565699 + ... + 66567701.

Almost surely, 2^133333100100 is an apocalyptic number.

133333100100 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 133333100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214824792000).

133333100100 is an abundant number, since it is smaller than the sum of its proper divisors (296316483900).

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

133333100100 is a wasteful number, since it uses less digits than its factorization.

133333100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 133333100100 its reverse (1001333331), we get a palindrome (134334433431).

The spelling of 133333100100 in words is "one hundred thirty-three billion, three hundred thirty-three million, one hundred thousand, one hundred".