13138321 has 12 divisors (see below), whose sum is σ = 15496932. Its totient is φ = 11104128.

The previous prime is 13138309. The next prime is 13138339. The reversal of 13138321 is 12383131.

It can be written as a sum of positive squares in 2 ways, for example, as 3651921 + 9486400 = 1911^2 + 3080^2 .

It is not a de Polignac number, because 13138321 - 2⁷ = 13138193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13138292 and 13138301.

It is not an unprimeable number, because it can be changed into a prime (13138381) 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, 1741 + ... + 5413.

It is an arithmetic number, because the mean of its divisors is an integer number (1291411).

Almost surely, 2^13138321 is an apocalyptic number.

It is an amenable number.

13138321 is a deficient number, since it is larger than the sum of its proper divisors (2358611).

13138321 is an equidigital number, since it uses as much as digits as its factorization.

13138321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760 (or 3753 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 13138321 is about 3624.6821929653. The cubic root of 13138321 is about 235.9644744476.

The spelling of 13138321 in words is "thirteen million, one hundred thirty-eight thousand, three hundred twenty-one".