10713137 has 2 divisors, whose sum is σ = 10713138. Its totient is φ = 10713136.

The previous prime is 10713127. The next prime is 10713163. The reversal of 10713137 is 73131701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6677056 + 4036081 = 2584^2 + 2009^2 .

It is an emirp because it is prime and its reverse (73131701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10713137 - 2¹⁰ = 10712113 is a prime.

It is a super-2 number, since 2×10713137² = 229542608761538, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10713127) 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 as a sum of consecutive naturals, namely, 5356568 + 5356569.

It is an arithmetic number, because the mean of its divisors is an integer number (5356569).

Almost surely, 2^10713137 is an apocalyptic number.

It is an amenable number.

10713137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10713137 is an equidigital number, since it uses as much as digits as its factorization.

10713137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 441, while the sum is 23.

The square root of 10713137 is about 3273.0928798309. The cubic root of 10713137 is about 220.4476902805.

Adding to 10713137 its reverse (73131701), we get a palindrome (83844838).

The spelling of 10713137 in words is "ten million, seven hundred thirteen thousand, one hundred thirty-seven".