133103330100 has 432 divisors, whose sum is σ = 463288316400. Its totient is φ = 31750963200.

The previous prime is 133103330077. The next prime is 133103330119. The reversal of 133103330100 is 1033301331.

133103330100 is a `hidden beast` number, since 1 + 331 + 0 + 3 + 330 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 88055814564 + 45047515536 = 296742^2 + 212244^2 .

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 143 ways as a sum of consecutive naturals, for example, 151081660 + ... + 151082540.

Almost surely, 2^133103330100 is an apocalyptic number.

133103330100 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 133103330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231644158200).

133103330100 is an abundant number, since it is smaller than the sum of its proper divisors (330184986300).

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

133103330100 is a wasteful number, since it uses less digits than its factorization.

133103330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1290 counting only the distinct ones).

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

Adding to 133103330100 its reverse (1033301331), we get a palindrome (134136631431).

It can be divided in two parts, 133103 and 330100, that added together give a triangular number (463203 = T₉₆₂).

The spelling of 133103330100 in words is "one hundred thirty-three billion, one hundred three million, three hundred thirty thousand, one hundred".