13300033300 has 72 divisors (see below), whose sum is σ = 31269623616. Its totient is φ = 4890600960.

The previous prime is 13300033267. The next prime is 13300033303. The reversal of 13300033300 is 333000331.

13300033300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13300033300² (a number of 21 digits) contains 22 as substring.

13300033300 is a modest number, since divided by 33300 gives 13300 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300033303) by changing a digit.

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, 17872 + ... + 164071.

It is an arithmetic number, because the mean of its divisors is an integer number (434300328).

Almost surely, 2^13300033300 is an apocalyptic number.

13300033300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300033300 is an abundant number, since it is smaller than the sum of its proper divisors (17969590316).

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

13300033300 is a wasteful number, since it uses less digits than its factorization.

13300033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182017 (or 182010 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 16.

Adding to 13300033300 its reverse (333000331), we get a palindrome (13633033631).

The spelling of 13300033300 in words is "thirteen billion, three hundred million, thirty-three thousand, three hundred".