313312331041 has 2 divisors, whose sum is σ = 313312331042. Its totient is φ = 313312331040.

The previous prime is 313312331039. The next prime is 313312331047. The reversal of 313312331041 is 140133213313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206952206400 + 106360124641 = 454920^2 + 326129^2 .

It is an emirp because it is prime and its reverse (140133213313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313312331041 - 2¹ = 313312331039 is a prime.

Together with 313312331039, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 313312330997 and 313312331015.

It is not a weakly prime, because it can be changed into another prime (313312331047) 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, 156656165520 + 156656165521.

It is an arithmetic number, because the mean of its divisors is an integer number (156656165521).

Almost surely, 2^313312331041 is an apocalyptic number.

It is an amenable number.

313312331041 is a deficient number, since it is larger than the sum of its proper divisors (1).

313312331041 is an equidigital number, since it uses as much as digits as its factorization.

313312331041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 313312331041 its reverse (140133213313), we get a palindrome (453445544354).

The spelling of 313312331041 in words is "three hundred thirteen billion, three hundred twelve million, three hundred thirty-one thousand, forty-one".