112312313 has 2 divisors, whose sum is σ = 112312314. Its totient is φ = 112312312.

The previous prime is 112312271. The next prime is 112312337. The reversal of 112312313 is 313213211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108826624 + 3485689 = 10432^2 + 1867^2 .

It is a cyclic number.

It is not a de Polignac number, because 112312313 - 2¹⁰ = 112311289 is a prime.

It is a super-2 number, since 2×112312313² = 25228111302819938, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112312291 and 112312300.

It is not a weakly prime, because it can be changed into another prime (112312373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56156156 + 56156157.

It is an arithmetic number, because the mean of its divisors is an integer number (56156157).

Almost surely, 2^112312313 is an apocalyptic number.

It is an amenable number.

112312313 is a deficient number, since it is larger than the sum of its proper divisors (1).

112312313 is an equidigital number, since it uses as much as digits as its factorization.

112312313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108, while the sum is 17.

The square root of 112312313 is about 10597.7503744899. The cubic root of 112312313 is about 482.4760838996.

Adding to 112312313 its reverse (313213211), we get a palindrome (425525524).

The spelling of 112312313 in words is "one hundred twelve million, three hundred twelve thousand, three hundred thirteen".