312080113 has 2 divisors, whose sum is σ = 312080114. Its totient is φ = 312080112.

The previous prime is 312080071. The next prime is 312080117. The reversal of 312080113 is 311080213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 304746849 + 7333264 = 17457^2 + 2708^2 .

It is an emirp because it is prime and its reverse (311080213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312080113 - 2⁹ = 312079601 is a prime.

It is not a weakly prime, because it can be changed into another prime (312080117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156040056 + 156040057.

It is an arithmetic number, because the mean of its divisors is an integer number (156040057).

Almost surely, 2^312080113 is an apocalyptic number.

It is an amenable number.

312080113 is a deficient number, since it is larger than the sum of its proper divisors (1).

312080113 is an equidigital number, since it uses as much as digits as its factorization.

312080113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 312080113 is about 17665.7893398512. The cubic root of 312080113 is about 678.3003349431.

The spelling of 312080113 in words is "three hundred twelve million, eighty thousand, one hundred thirteen".