1310113 has 6 divisors (see below), whose sum is σ = 1524066. Its totient is φ = 1122912.

The previous prime is 1310093. The next prime is 1310117. The reversal of 1310113 is 3110131.

It can be written as a sum of positive squares in only one way, i.e., 1192464 + 117649 = 1092^2 + 343^2 .

It is not a de Polignac number, because 1310113 - 2⁹ = 1309601 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1310113.

It is not an unprimeable number, because it can be changed into a prime (1310117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13320 + ... + 13417.

It is an arithmetic number, because the mean of its divisors is an integer number (254011).

2^1310113 is an apocalyptic number.

It is an amenable number.

1310113 is a deficient number, since it is larger than the sum of its proper divisors (213953).

1310113 is an equidigital number, since it uses as much as digits as its factorization.

1310113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26751 (or 26744 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1310113 is about 1144.6016774407. The cubic root of 1310113 is about 109.4215641734.

Adding to 1310113 its reverse (3110131), we get a palindrome (4420244).

The spelling of 1310113 in words is "one million, three hundred ten thousand, one hundred thirteen".