133221212100 has 648 divisors, whose sum is σ = 457136866368. Its totient is φ = 32412441600.

The previous prime is 133221212023. The next prime is 133221212101. The reversal of 133221212100 is 1212122331.

133221212100 is a `hidden beast` number, since 1 + 332 + 2 + 121 + 210 + 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 (133221212101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1876355065 + ... + 1876355135.

Almost surely, 2^133221212100 is an apocalyptic number.

133221212100 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 133221212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228568433184).

133221212100 is an abundant number, since it is smaller than the sum of its proper divisors (323915654268).

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

133221212100 is a wasteful number, since it uses less digits than its factorization.

133221212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 133221212100 its reverse (1212122331), we get a palindrome (134433334431).

The spelling of 133221212100 in words is "one hundred thirty-three billion, two hundred twenty-one million, two hundred twelve thousand, one hundred".