13300310003300 has 18 divisors (see below), whose sum is σ = 28861672707378. Its totient is φ = 5320124001280.

The previous prime is 13300310003249. The next prime is 13300310003369. The reversal of 13300310003300 is 330001300331.

It can be written as a sum of positive squares in 3 ways, for example, as 32926279936 + 13267383723364 = 181456^2 + 3642442^2 .

It is a super-3 number, since 3×13300310003300³ (a number of 40 digits) contains 333 as substring.

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 5 ways as a sum of consecutive naturals, for example, 66501549917 + ... + 66501550116.

It is an arithmetic number, because the mean of its divisors is an integer number (1603426261521).

Almost surely, 2^{13300310003300} is an apocalyptic number.

13300310003300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300310003300 is an abundant number, since it is smaller than the sum of its proper divisors (15561362704078).

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

13300310003300 is a wasteful number, since it uses less digits than its factorization.

13300310003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133003100047 (or 133003100040 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 17.

Adding to 13300310003300 its reverse (330001300331), we get a palindrome (13630311303631).

The spelling of 13300310003300 in words is "thirteen trillion, three hundred billion, three hundred ten million, three thousand, three hundred".