13001301 has 12 divisors (see below), whose sum is σ = 19768320. Its totient is φ = 8211240.

The previous prime is 13001291. The next prime is 13001321. The reversal of 13001301 is 10310031.

13001301 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 13001301 - 2⁵ = 13001269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001321) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 37845 + ... + 38186.

It is an arithmetic number, because the mean of its divisors is an integer number (1647360).

Almost surely, 2^13001301 is an apocalyptic number.

It is an amenable number.

13001301 is a deficient number, since it is larger than the sum of its proper divisors (6767019).

13001301 is a wasteful number, since it uses less digits than its factorization.

13001301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76056 (or 76053 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 13001301 is about 3605.7316871892. The cubic root of 13001301 is about 235.1413123218.

Adding to 13001301 its reverse (10310031), we get a palindrome (23311332).

It can be divided in two parts, 1300 and 1301, that added together give a square (2601 = 51²).

The spelling of 13001301 in words is "thirteen million, one thousand, three hundred one".