133311331300 has 72 divisors (see below), whose sum is σ = 331291823744. Its totient is φ = 45612771840.

The previous prime is 133311331273. The next prime is 133311331301. The reversal of 133311331300 is 3133113331.

It is a super-2 number, since 2×133311331300² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133311331301) 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, 145372 + ... + 536428.

Almost surely, 2^133311331300 is an apocalyptic number.

133311331300 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 133311331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165645911872).

133311331300 is an abundant number, since it is smaller than the sum of its proper divisors (197980492444).

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

133311331300 is a wasteful number, since it uses less digits than its factorization.

133311331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391565 (or 391558 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 133311331300 its reverse (3133113331), we get a palindrome (136444444631).

The spelling of 133311331300 in words is "one hundred thirty-three billion, three hundred eleven million, three hundred thirty-one thousand, three hundred".