312334331041 has 2 divisors, whose sum is σ = 312334331042. Its totient is φ = 312334331040.

The previous prime is 312334331027. The next prime is 312334331047. The reversal of 312334331041 is 140133433213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 262652150016 + 49682181025 = 512496^2 + 222895^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312334331041 is a prime.

It is a super-2 number, since 2×312334331041² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312334331047) 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, 156167165520 + 156167165521.

It is an arithmetic number, because the mean of its divisors is an integer number (156167165521).

Almost surely, 2^312334331041 is an apocalyptic number.

It is an amenable number.

312334331041 is a deficient number, since it is larger than the sum of its proper divisors (1).

312334331041 is an equidigital number, since it uses as much as digits as its factorization.

312334331041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 312334331041 its reverse (140133433213), we get a palindrome (452467764254).

The spelling of 312334331041 in words is "three hundred twelve billion, three hundred thirty-four million, three hundred thirty-one thousand, forty-one".