10513117 has 2 divisors, whose sum is σ = 10513118. Its totient is φ = 10513116.

The previous prime is 10513079. The next prime is 10513121. The reversal of 10513117 is 71131501.

10513117 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., 10169721 + 343396 = 3189^2 + 586^2 .

It is a cyclic number.

It is not a de Polignac number, because 10513117 - 2²³ = 2124509 is a prime.

It is a super-2 number, since 2×10513117² = 221051258111378, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10513094 and 10513103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10513127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5256558 + 5256559.

It is an arithmetic number, because the mean of its divisors is an integer number (5256559).

Almost surely, 2^10513117 is an apocalyptic number.

It is an amenable number.

10513117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10513117 is an equidigital number, since it uses as much as digits as its factorization.

10513117 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 10513117 is about 3242.3937145264. The cubic root of 10513117 is about 219.0671034195.

Adding to 10513117 its reverse (71131501), we get a palindrome (81644618).

The spelling of 10513117 in words is "ten million, five hundred thirteen thousand, one hundred seventeen".