103165313 has 2 divisors, whose sum is σ = 103165314. Its totient is φ = 103165312.

The previous prime is 103165277. The next prime is 103165331. The reversal of 103165313 is 313561301.

It is a happy number.

Together with next prime (103165331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95804944 + 7360369 = 9788^2 + 2713^2 .

It is a cyclic number.

It is not a de Polignac number, because 103165313 - 2⁸ = 103165057 is a prime.

It is not a weakly prime, because it can be changed into another prime (103165813) 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, 51582656 + 51582657.

It is an arithmetic number, because the mean of its divisors is an integer number (51582657).

Almost surely, 2^103165313 is an apocalyptic number.

It is an amenable number.

103165313 is a deficient number, since it is larger than the sum of its proper divisors (1).

103165313 is an equidigital number, since it uses as much as digits as its factorization.

103165313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 103165313 is about 10157.0326867644. The cubic root of 103165313 is about 469.0054615106.

The spelling of 103165313 in words is "one hundred three million, one hundred sixty-five thousand, three hundred thirteen".