133311003021100 has 72 divisors (see below), whose sum is σ = 293176134901440. Its totient is φ = 52608175825920.

The previous prime is 133311003021043. The next prime is 133311003021103. The reversal of 133311003021100 is 1120300113331.

It is not an unprimeable number, because it can be changed into a prime (133311003021103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3481092 + ... + 16695508.

It is an arithmetic number, because the mean of its divisors is an integer number (4071890762520).

Almost surely, 2^{133311003021100} is an apocalyptic number.

133311003021100 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 133311003021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146588067450720).

133311003021100 is an abundant number, since it is smaller than the sum of its proper divisors (159865131880340).

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

133311003021100 is a wasteful number, since it uses less digits than its factorization.

133311003021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13215787 (or 13215780 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 133311003021100 its reverse (1120300113331), we get a palindrome (134431303134431).

The spelling of 133311003021100 in words is "one hundred thirty-three trillion, three hundred eleven billion, three million, twenty-one thousand, one hundred".