312111003041 has 2 divisors, whose sum is σ = 312111003042. Its totient is φ = 312111003040.

The previous prime is 312111003019. The next prime is 312111003077. The reversal of 312111003041 is 140300111213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 306008112400 + 6102890641 = 553180^2 + 78121^2 .

It is an emirp because it is prime and its reverse (140300111213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312111003041 - 2¹⁸ = 312110740897 is a prime.

It is a super-2 number, since 2×312111003041² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312111003641) 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, 156055501520 + 156055501521.

It is an arithmetic number, because the mean of its divisors is an integer number (156055501521).

Almost surely, 2^312111003041 is an apocalyptic number.

It is an amenable number.

312111003041 is a deficient number, since it is larger than the sum of its proper divisors (1).

312111003041 is an equidigital number, since it uses as much as digits as its factorization.

312111003041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 312111003041 its reverse (140300111213), we get a palindrome (452411114254).

The spelling of 312111003041 in words is "three hundred twelve billion, one hundred eleven million, three thousand, forty-one".