133330022100 has 216 divisors, whose sum is σ = 459946311552. Its totient is φ = 32036121600.

The previous prime is 133330022083. The next prime is 133330022131. The reversal of 133330022100 is 1220033331.

133330022100 is a `hidden beast` number, since 1 + 333 + 300 + 22 + 10 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1059109 + ... + 1178291.

It is an arithmetic number, because the mean of its divisors is an integer number (2129381072).

Almost surely, 2^133330022100 is an apocalyptic number.

133330022100 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 133330022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229973155776).

133330022100 is an abundant number, since it is smaller than the sum of its proper divisors (326616289452).

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

133330022100 is a wasteful number, since it uses less digits than its factorization.

133330022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119327 (or 119317 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133330022100 its reverse (1220033331), we get a palindrome (134550055431).

The spelling of 133330022100 in words is "one hundred thirty-three billion, three hundred thirty million, twenty-two thousand, one hundred".