13304533305120 has 96 divisors (see below), whose sum is σ = 42931457533440. Its totient is φ = 3461341992960.

The previous prime is 13304533305097. The next prime is 13304533305127. The reversal of 13304533305120 is 2150333540331.

13304533305120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×13304533305120³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13304533305127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338002000 + ... + 338041359.

It is an arithmetic number, because the mean of its divisors is an integer number (447202682640).

Almost surely, 2^{13304533305120} is an apocalyptic number.

13304533305120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13304533305120 is an abundant number, since it is smaller than the sum of its proper divisors (29626924228320).

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

13304533305120 is a wasteful number, since it uses less digits than its factorization.

13304533305120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676043418 (or 676043410 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 33.

Adding to 13304533305120 its reverse (2150333540331), we get a palindrome (15454866845451).

The spelling of 13304533305120 in words is "thirteen trillion, three hundred four billion, five hundred thirty-three million, three hundred five thousand, one hundred twenty".