10135117 has 2 divisors, whose sum is σ = 10135118. Its totient is φ = 10135116.

The previous prime is 10135093. The next prime is 10135121. The reversal of 10135117 is 71153101.

10135117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9326916 + 808201 = 3054^2 + 899^2 .

It is a cyclic number.

It is not a de Polignac number, because 10135117 - 2¹¹ = 10133069 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10135094 and 10135103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10135187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5067558 + 5067559.

It is an arithmetic number, because the mean of its divisors is an integer number (5067559).

Almost surely, 2^10135117 is an apocalyptic number.

It is an amenable number.

10135117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10135117 is an equidigital number, since it uses as much as digits as its factorization.

10135117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105, while the sum is 19.

The square root of 10135117 is about 3183.5698515974. The cubic root of 10135117 is about 216.4094670607.

Adding to 10135117 its reverse (71153101), we get a palindrome (81288218).

The spelling of 10135117 in words is "ten million, one hundred thirty-five thousand, one hundred seventeen".