13305306 has 16 divisors (see below), whose sum is σ = 30412224. Its totient is φ = 3801504.

The previous prime is 13305241. The next prime is 13305307. The reversal of 13305306 is 60350331.

13305306 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13305307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158355 + ... + 158438.

It is an arithmetic number, because the mean of its divisors is an integer number (1900764).

Almost surely, 2^13305306 is an apocalyptic number.

13305306 is an abundant number, since it is smaller than the sum of its proper divisors (17106918).

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

13305306 is a wasteful number, since it uses less digits than its factorization.

13305306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316805.

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 13305306 is about 3647.6438970930. The cubic root of 13305306 is about 236.9599533539.

Adding to 13305306 its reverse (60350331), we get a palindrome (73655637).

The spelling of 13305306 in words is "thirteen million, three hundred five thousand, three hundred six".