10122713 has 2 divisors, whose sum is σ = 10122714. Its totient is φ = 10122712.

The previous prime is 10122703. The next prime is 10122751. The reversal of 10122713 is 31722101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5513104 + 4609609 = 2348^2 + 2147^2 .

It is an emirp because it is prime and its reverse (31722101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10122713 - 2⁸ = 10122457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122691 and 10122700.

It is not a weakly prime, because it can be changed into another prime (10122703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061356 + 5061357.

It is an arithmetic number, because the mean of its divisors is an integer number (5061357).

Almost surely, 2^10122713 is an apocalyptic number.

It is an amenable number.

10122713 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122713 is an equidigital number, since it uses as much as digits as its factorization.

10122713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 10122713 is about 3181.6211276643. The cubic root of 10122713 is about 216.3211458022.

Adding to 10122713 its reverse (31722101), we get a palindrome (41844814).

The spelling of 10122713 in words is "ten million, one hundred twenty-two thousand, seven hundred thirteen".