3100000313 has 2 divisors, whose sum is σ = 3100000314. Its totient is φ = 3100000312.

The previous prime is 3100000289. The next prime is 3100000339. The reversal of 3100000313 is 3130000013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2089586944 + 1010413369 = 45712^2 + 31787^2 .

It is a cyclic number.

It is not a de Polignac number, because 3100000313 - 2²² = 3095806009 is a prime.

It is a super-3 number, since 3×3100000313³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3100000294 and 3100000303.

It is not a weakly prime, because it can be changed into another prime (3100000363) 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 as a sum of consecutive naturals, namely, 1550000156 + 1550000157.

It is an arithmetic number, because the mean of its divisors is an integer number (1550000157).

Almost surely, 2^3100000313 is an apocalyptic number.

It is an amenable number.

3100000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3100000313 is an equidigital number, since it uses as much as digits as its factorization.

3100000313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 3100000313 is about 55677.6464391231. The cubic root of 3100000313 is about 1458.0997849004.

Adding to 3100000313 its reverse (3130000013), we get a palindrome (6230000326).

The spelling of 3100000313 in words is "three billion, one hundred million, three hundred thirteen", and thus it is an aban number.