13001307 has 32 divisors (see below), whose sum is σ = 19906560. Its totient is φ = 7476000.

The previous prime is 13001291. The next prime is 13001321. The reversal of 13001307 is 70310031.

13001307 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13001307 - 2⁴ = 13001291 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13001347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72544 + ... + 72722.

It is an arithmetic number, because the mean of its divisors is an integer number (622080).

Almost surely, 2^13001307 is an apocalyptic number.

13001307 is a deficient number, since it is larger than the sum of its proper divisors (6905253).

13001307 is a wasteful number, since it uses less digits than its factorization.

13001307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295.

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 13001307 is about 3605.7325191977. The cubic root of 13001307 is about 235.1413484937.

Adding to 13001307 its reverse (70310031), we get a palindrome (83311338).

The spelling of 13001307 in words is "thirteen million, one thousand, three hundred seven".