133003331100 has 72 divisors (see below), whose sum is σ = 427581087920. Its totient is φ = 35467554240.

The previous prime is 133003331059. The next prime is 133003331101. The reversal of 133003331100 is 1133300331.

133003331100 is a `hidden beast` number, since 1 + 330 + 0 + 3 + 331 + 1 + 0 + 0 = 666.

It is a super-3 number, since 3×133003331100³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133003331101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24627547 + ... + 24632946.

Almost surely, 2^133003331100 is an apocalyptic number.

133003331100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133003331100 is an abundant number, since it is smaller than the sum of its proper divisors (294577756820).

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

133003331100 is a wasteful number, since it uses less digits than its factorization.

133003331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49260516 (or 49260503 counting only the distinct ones).

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

Adding to 133003331100 its reverse (1133300331), we get a palindrome (134136631431).

The spelling of 133003331100 in words is "one hundred thirty-three billion, three million, three hundred thirty-one thousand, one hundred".