13331305 has 8 divisors (see below), whose sum is σ = 17228232. Its totient is φ = 9844608.

The previous prime is 13331299. The next prime is 13331309. The reversal of 13331305 is 50313331.

It can be written as a sum of positive squares in 4 ways, for example, as 168921 + 13162384 = 411^2 + 3628^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13331305 - 2¹¹ = 13329257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13331309) 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, 102484 + ... + 102613.

It is an arithmetic number, because the mean of its divisors is an integer number (2153529).

Almost surely, 2^13331305 is an apocalyptic number.

It is an amenable number.

13331305 is a deficient number, since it is larger than the sum of its proper divisors (3896927).

13331305 is a wasteful number, since it uses less digits than its factorization.

13331305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205115.

The product of its (nonzero) digits is 405, while the sum is 19.

The square root of 13331305 is about 3651.2059651573. The cubic root of 13331305 is about 237.1141954141.

Adding to 13331305 its reverse (50313331), we get a palindrome (63644636).

The spelling of 13331305 in words is "thirteen million, three hundred thirty-one thousand, three hundred five".