13039301 has 16 divisors (see below), whose sum is σ = 15163200. Its totient is φ = 11088000.

The previous prime is 13039291. The next prime is 13039331. The reversal of 13039301 is 10393031.

13039301 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13039301 - 2¹⁸ = 12777157 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13039331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18251 + ... + 18951.

It is an arithmetic number, because the mean of its divisors is an integer number (947700).

Almost surely, 2^13039301 is an apocalyptic number.

13039301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13039301 is a deficient number, since it is larger than the sum of its proper divisors (2123899).

13039301 is a wasteful number, since it uses less digits than its factorization.

13039301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820.

The product of its (nonzero) digits is 243, while the sum is 20.

The square root of 13039301 is about 3610.9972306830. The cubic root of 13039301 is about 235.3701786122.

Adding to 13039301 its sum of digits (20), we get a square (13039321 = 3611²).

The spelling of 13039301 in words is "thirteen million, thirty-nine thousand, three hundred one".