133432091100 has 864 divisors, whose sum is σ = 547972427520. Its totient is φ = 27542592000.

The previous prime is 133432091099. The next prime is 133432091101. The reversal of 133432091100 is 1190234331.

133432091100 is a `hidden beast` number, since 1 + 3 + 343 + 209 + 110 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (133432091099) and next prime (133432091101).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133432091101) 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 287 ways as a sum of consecutive naturals, for example, 403117935 + ... + 403118265.

Almost surely, 2^133432091100 is an apocalyptic number.

133432091100 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 133432091100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273986213760).

133432091100 is an abundant number, since it is smaller than the sum of its proper divisors (414540336420).

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

133432091100 is a wasteful number, since it uses less digits than its factorization.

133432091100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 133432091100 in words is "one hundred thirty-three billion, four hundred thirty-two million, ninety-one thousand, one hundred".