13320133300 has 72 divisors (see below), whose sum is σ = 29678647320. Its totient is φ = 5185996800.

The previous prime is 13320133297. The next prime is 13320133319. The reversal of 13320133300 is 333102331.

13320133300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 6997657104 + 6322476196 = 83652^2 + 79514^2 .

It is a super-2 number, since 2×13320133300² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1870146 + ... + 1877254.

It is an arithmetic number, because the mean of its divisors is an integer number (412203435).

Almost surely, 2^13320133300 is an apocalyptic number.

13320133300 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 13320133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14839323660).

13320133300 is an abundant number, since it is smaller than the sum of its proper divisors (16358514020).

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

13320133300 is a wasteful number, since it uses less digits than its factorization.

13320133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7621 (or 7614 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 13320133300 its reverse (333102331), we get a palindrome (13653235631).

The spelling of 13320133300 in words is "thirteen billion, three hundred twenty million, one hundred thirty-three thousand, three hundred".