13003003300 has 72 divisors (see below), whose sum is σ = 32351679360. Its totient is φ = 4443763200.

The previous prime is 13003003291. The next prime is 13003003301. The reversal of 13003003300 is 330030031.

It is not an unprimeable number, because it can be changed into a prime (13003003301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187836 + ... + 247564.

It is an arithmetic number, because the mean of its divisors is an integer number (449328880).

Almost surely, 2^13003003300 is an apocalyptic number.

13003003300 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 13003003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16175839680).

13003003300 is an abundant number, since it is smaller than the sum of its proper divisors (19348676060).

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

13003003300 is a wasteful number, since it uses less digits than its factorization.

13003003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60061 (or 60054 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 13.

Adding to 13003003300 its reverse (330030031), we get a palindrome (13333033331).

The spelling of 13003003300 in words is "thirteen billion, three million, three thousand, three hundred".