133313030100 has 216 divisors, whose sum is σ = 437855850432. Its totient is φ = 33862118400.

The previous prime is 133313030051. The next prime is 133313030159. The reversal of 133313030100 is 1030313331.

133313030100 is a `hidden beast` number, since 1 + 3 + 331 + 30 + 301 + 0 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4975339 + ... + 5002061.

Almost surely, 2^133313030100 is an apocalyptic number.

133313030100 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 133313030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218927925216).

133313030100 is an abundant number, since it is smaller than the sum of its proper divisors (304542820332).

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

133313030100 is a wasteful number, since it uses less digits than its factorization.

133313030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27007 (or 26997 counting only the distinct ones).

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

Adding to 133313030100 its reverse (1030313331), we get a palindrome (134343343431).

The spelling of 133313030100 in words is "one hundred thirty-three billion, three hundred thirteen million, thirty thousand, one hundred".