312210113 has 2 divisors, whose sum is σ = 312210114. Its totient is φ = 312210112.

The previous prime is 312210091. The next prime is 312210137. The reversal of 312210113 is 311012213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 273670849 + 38539264 = 16543^2 + 6208^2 .

It is an emirp because it is prime and its reverse (311012213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312210113 - 2¹² = 312206017 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (312210163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156105056 + 156105057.

It is an arithmetic number, because the mean of its divisors is an integer number (156105057).

Almost surely, 2^312210113 is an apocalyptic number.

It is an amenable number.

312210113 is a deficient number, since it is larger than the sum of its proper divisors (1).

312210113 is an equidigital number, since it uses as much as digits as its factorization.

312210113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 312210113 is about 17669.4683847591. The cubic root of 312210113 is about 678.3945060643.

Adding to 312210113 its reverse (311012213), we get a palindrome (623222326).

The spelling of 312210113 in words is "three hundred twelve million, two hundred ten thousand, one hundred thirteen".