312031303601 has 2 divisors, whose sum is σ = 312031303602. Its totient is φ = 312031303600.

The previous prime is 312031303589. The next prime is 312031303607. The reversal of 312031303601 is 106303130213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 160601364001 + 151429939600 = 400751^2 + 389140^2 .

It is a cyclic number.

It is not a de Polignac number, because 312031303601 - 2¹⁰ = 312031302577 is a prime.

It is not a weakly prime, because it can be changed into another prime (312031303607) 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, 156015651800 + 156015651801.

It is an arithmetic number, because the mean of its divisors is an integer number (156015651801).

Almost surely, 2^312031303601 is an apocalyptic number.

It is an amenable number.

312031303601 is a deficient number, since it is larger than the sum of its proper divisors (1).

312031303601 is an equidigital number, since it uses as much as digits as its factorization.

312031303601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 312031303601 its reverse (106303130213), we get a palindrome (418334433814).

The spelling of 312031303601 in words is "three hundred twelve billion, thirty-one million, three hundred three thousand, six hundred one".