13303504305 has 192 divisors, whose sum is σ = 29044334592. Its totient is φ = 5484257280.

The previous prime is 13303504273. The next prime is 13303504373. The reversal of 13303504305 is 50340530331.

It is a happy number.

13303504305 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 350 + 4 + 305 = 666.

It is not a de Polignac number, because 13303504305 - 2⁵ = 13303504273 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57096469 + ... + 57096701.

It is an arithmetic number, because the mean of its divisors is an integer number (151272576).

Almost surely, 2^13303504305 is an apocalyptic number.

13303504305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13303504305 is an abundant number, since it is smaller than the sum of its proper divisors (15740830287).

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

13303504305 is a wasteful number, since it uses less digits than its factorization.

13303504305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The spelling of 13303504305 in words is "thirteen billion, three hundred three million, five hundred four thousand, three hundred five".