313001110313 has 2 divisors, whose sum is σ = 313001110314. Its totient is φ = 313001110312.

The previous prime is 313001110307. The next prime is 313001110319. The reversal of 313001110313 is 313011100313.

It is a balanced prime because it is at equal distance from previous prime (313001110307) and next prime (313001110319).

It can be written as a sum of positive squares in only one way, i.e., 167372628544 + 145628481769 = 409112^2 + 381613^2 .

It is a cyclic number.

It is not a de Polignac number, because 313001110313 - 2⁴ = 313001110297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313001110291 and 313001110300.

It is not a weakly prime, because it can be changed into another prime (313001110319) 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, 156500555156 + 156500555157.

It is an arithmetic number, because the mean of its divisors is an integer number (156500555157).

Almost surely, 2^313001110313 is an apocalyptic number.

It is an amenable number.

313001110313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313001110313 is an equidigital number, since it uses as much as digits as its factorization.

313001110313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 313001110313 its reverse (313011100313), we get a palindrome (626012210626).

The spelling of 313001110313 in words is "three hundred thirteen billion, one million, one hundred ten thousand, three hundred thirteen".