13310505 has 48 divisors (see below), whose sum is σ = 25321296. Its totient is φ = 6428160.

The previous prime is 13310483. The next prime is 13310533. The reversal of 13310505 is 50501331.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3594816 + 9715689 = 1896^2 + 3117^2 .

It is not a de Polignac number, because 13310505 - 2¹⁴ = 13294121 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35499 + ... + 35871.

It is an arithmetic number, because the mean of its divisors is an integer number (527527).

Almost surely, 2^13310505 is an apocalyptic number.

13310505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13310505 is a deficient number, since it is larger than the sum of its proper divisors (12010791).

13310505 is a wasteful number, since it uses less digits than its factorization.

13310505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 13310505 is about 3648.3564792931. The cubic root of 13310505 is about 236.9908130819.

Adding to 13310505 its reverse (50501331), we get a palindrome (63811836).

The spelling of 13310505 in words is "thirteen million, three hundred ten thousand, five hundred five".