312331122001 has 4 divisors (see below), whose sum is σ = 312335254372. Its totient is φ = 312326989632.

The previous prime is 312331121989. The next prime is 312331122013. The reversal of 312331122001 is 100221133213.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 100221133213 = 401 ⋅249928013.

It is an interprime number because it is at equal distance from previous prime (312331121989) and next prime (312331122013).

It can be written as a sum of positive squares in 2 ways, for example, as 281732716225 + 30598405776 = 530785^2 + 174924^2 .

It is a cyclic number.

It is not a de Polignac number, because 312331122001 - 2⁷ = 312331121873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312331122001.

It is not an unprimeable number, because it can be changed into a prime (312331128001) 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 in 3 ways as a sum of consecutive naturals, for example, 1950660 + ... + 2104693.

It is an arithmetic number, because the mean of its divisors is an integer number (78083813593).

Almost surely, 2^312331122001 is an apocalyptic number.

It is an amenable number.

312331122001 is a deficient number, since it is larger than the sum of its proper divisors (4132371).

312331122001 is an equidigital number, since it uses as much as digits as its factorization.

312331122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132370.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 312331122001 its reverse (100221133213), we get a palindrome (412552255214).

The spelling of 312331122001 in words is "three hundred twelve billion, three hundred thirty-one million, one hundred twenty-two thousand, one".