312332313103201 has 2 divisors, whose sum is σ = 312332313103202. Its totient is φ = 312332313103200.

The previous prime is 312332313103199. The next prime is 312332313103297. The reversal of 312332313103201 is 102301313233213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 312239502090000 + 92811013201 = 17670300^2 + 304649^2 .

It is an emirp because it is prime and its reverse (102301313233213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312332313103201 - 2¹ = 312332313103199 is a prime.

Together with 312332313103199, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 312332313103201.

It is not a weakly prime, because it can be changed into another prime (312332319103201) 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, 156166156551600 + 156166156551601.

It is an arithmetic number, because the mean of its divisors is an integer number (156166156551601).

Almost surely, 2^{312332313103201} is an apocalyptic number.

It is an amenable number.

312332313103201 is a deficient number, since it is larger than the sum of its proper divisors (1).

312332313103201 is an equidigital number, since it uses as much as digits as its factorization.

312332313103201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 312332313103201 its reverse (102301313233213), we get a palindrome (414633626336414).

The spelling of 312332313103201 in words is "three hundred twelve trillion, three hundred thirty-two billion, three hundred thirteen million, one hundred three thousand, two hundred one".