312333103242001 has 2 divisors, whose sum is σ = 312333103242002. Its totient is φ = 312333103242000.

The previous prime is 312333103241969. The next prime is 312333103242029. The reversal of 312333103242001 is 100242301333213.

It is an a-pointer prime, because the next prime (312333103242029) can be obtained adding 312333103242001 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199025083140625 + 113308020101376 = 14107625^2 + 10644624^2 .

It is a cyclic number.

It is not a de Polignac number, because 312333103242001 - 2⁵ = 312333103241969 is a prime.

It is not a weakly prime, because it can be changed into another prime (312333103249001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156166551621000 + 156166551621001.

It is an arithmetic number, because the mean of its divisors is an integer number (156166551621001).

Almost surely, 2^{312333103242001} is an apocalyptic number.

It is an amenable number.

312333103242001 is a deficient number, since it is larger than the sum of its proper divisors (1).

312333103242001 is an equidigital number, since it uses as much as digits as its factorization.

312333103242001 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 312333103242001 its reverse (100242301333213), we get a palindrome (412575404575214).

The spelling of 312333103242001 in words is "three hundred twelve trillion, three hundred thirty-three billion, one hundred three million, two hundred forty-two thousand, one".