13310307 has 12 divisors (see below), whose sum is σ = 20062224. Its totient is φ = 8487600.

The previous prime is 13310293. The next prime is 13310321. The reversal of 13310307 is 70301331.

13310307 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 an interprime number because it is at equal distance from previous prime (13310293) and next prime (13310321).

It is not a de Polignac number, because 13310307 - 2¹⁹ = 12786019 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13310307.

It is not an unprimeable number, because it can be changed into a prime (13310327) 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, 31944 + ... + 32357.

It is an arithmetic number, because the mean of its divisors is an integer number (1671852).

Almost surely, 2^13310307 is an apocalyptic number.

13310307 is a deficient number, since it is larger than the sum of its proper divisors (6751917).

13310307 is a wasteful number, since it uses less digits than its factorization.

13310307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64330 (or 64327 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 18.

The square root of 13310307 is about 3648.3293436860. The cubic root of 13310307 is about 236.9896379596.

Adding to 13310307 its reverse (70301331), we get a palindrome (83611638).

It can be divided in two parts, 133 and 10307, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 13310307 in words is "thirteen million, three hundred ten thousand, three hundred seven".