133212100 has 72 divisors (see below), whose sum is σ = 337478400. Its totient is φ = 44689920.

The previous prime is 133212089. The next prime is 133212127. The reversal of 133212100 is 1212331.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30876 + ... + 34924.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2^133212100 is an apocalyptic number.

133212100 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 133212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

133212100 is an abundant number, since it is smaller than the sum of its proper divisors (204266300).

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

133212100 is a wasteful number, since it uses less digits than its factorization.

133212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 133212100 is about 11541.7546326371. The cubic root of 133212100 is about 510.7180708987.

Adding to 133212100 its reverse (1212331), we get a palindrome (134424431).

The spelling of 133212100 in words is "one hundred thirty-three million, two hundred twelve thousand, one hundred".