12713137 has 2 divisors, whose sum is σ = 12713138. Its totient is φ = 12713136.

The previous prime is 12713123. The next prime is 12713153. The reversal of 12713137 is 73131721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12666481 + 46656 = 3559^2 + 216^2 .

It is a cyclic number.

It is not a de Polignac number, because 12713137 - 2¹¹ = 12711089 is a prime.

It is a super-3 number, since 3×12713137³ (a number of 22 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12713537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6356568 + 6356569.

It is an arithmetic number, because the mean of its divisors is an integer number (6356569).

Almost surely, 2^12713137 is an apocalyptic number.

It is an amenable number.

12713137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12713137 is an equidigital number, since it uses as much as digits as its factorization.

12713137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 882, while the sum is 25.

The square root of 12713137 is about 3565.5486253871. The cubic root of 12713137 is about 233.3910739190.

Adding to 12713137 its reverse (73131721), we get a palindrome (85844858).

The spelling of 12713137 in words is "twelve million, seven hundred thirteen thousand, one hundred thirty-seven".