312213040200241 has 2 divisors, whose sum is σ = 312213040200242. Its totient is φ = 312213040200240.

The previous prime is 312213040200239. The next prime is 312213040200289. The reversal of 312213040200241 is 142002040312213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200627536133025 + 111585504067216 = 14164305^2 + 10563404^2 .

It is an emirp because it is prime and its reverse (142002040312213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312213040200241 - 2¹ = 312213040200239 is a prime.

Together with 312213040200239, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (312213040200221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156106520100120 + 156106520100121.

It is an arithmetic number, because the mean of its divisors is an integer number (156106520100121).

Almost surely, 2^{312213040200241} is an apocalyptic number.

It is an amenable number.

312213040200241 is a deficient number, since it is larger than the sum of its proper divisors (1).

312213040200241 is an equidigital number, since it uses as much as digits as its factorization.

312213040200241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 312213040200241 its reverse (142002040312213), we get a palindrome (454215080512454).

The spelling of 312213040200241 in words is "three hundred twelve trillion, two hundred thirteen billion, forty million, two hundred thousand, two hundred forty-one".