13305120201504 has 72 divisors (see below), whose sum is σ = 37885638330540. Its totient is φ = 4429272711168.

The previous prime is 13305120201487. The next prime is 13305120201509. The reversal of 13305120201504 is 40510202150331.

13305120201504 is a `hidden beast` number, since 1 + 3 + 30 + 5 + 120 + 2 + 0 + 1 + 504 = 666.

13305120201504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12470418697104 + 834701504400 = 3531348^2 + 913620^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (13305120201509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29816457 + ... + 30259400.

Almost surely, 2^{13305120201504} is an apocalyptic number.

It is an amenable number.

13305120201504 is an abundant number, since it is smaller than the sum of its proper divisors (24580518129036).

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

13305120201504 is a wasteful number, since it uses less digits than its factorization.

13305120201504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60076642 (or 60076631 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 13305120201504 its reverse (40510202150331), we get a palindrome (53815322351835).

The spelling of 13305120201504 in words is "thirteen trillion, three hundred five billion, one hundred twenty million, two hundred one thousand, five hundred four".