10713127 has 2 divisors, whose sum is σ = 10713128. Its totient is φ = 10713126.

The previous prime is 10713113. The next prime is 10713137. The reversal of 10713127 is 72131701.

10713127 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 is an emirp because it is prime and its reverse (72131701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10713127 - 2¹⁵ = 10680359 is a prime.

It is a super-2 number, since 2×10713127² = 229542180236258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10713098 and 10713107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10713137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5356563 + 5356564.

It is an arithmetic number, because the mean of its divisors is an integer number (5356564).

Almost surely, 2^10713127 is an apocalyptic number.

10713127 is a deficient number, since it is larger than the sum of its proper divisors (1).

10713127 is an equidigital number, since it uses as much as digits as its factorization.

10713127 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 294, while the sum is 22.

The square root of 10713127 is about 3273.0913522235. The cubic root of 10713127 is about 220.4476216894.

Adding to 10713127 its reverse (72131701), we get a palindrome (82844828).

The spelling of 10713127 in words is "ten million, seven hundred thirteen thousand, one hundred twenty-seven".