312344101410401 has 2 divisors, whose sum is σ = 312344101410402. Its totient is φ = 312344101410400.

The previous prime is 312344101410379. The next prime is 312344101410403. The reversal of 312344101410401 is 104014101443213.

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., 299854938342400 + 12489163068001 = 17316320^2 + 3534001^2 .

It is a cyclic number.

It is not a de Polignac number, because 312344101410401 - 2¹⁰ = 312344101409377 is a prime.

Together with 312344101410403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312344101410403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156172050705200 + 156172050705201.

It is an arithmetic number, because the mean of its divisors is an integer number (156172050705201).

Almost surely, 2^{312344101410401} is an apocalyptic number.

It is an amenable number.

312344101410401 is a deficient number, since it is larger than the sum of its proper divisors (1).

312344101410401 is an equidigital number, since it uses as much as digits as its factorization.

312344101410401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 312344101410401 its reverse (104014101443213), we get a palindrome (416358202853614).

The spelling of 312344101410401 in words is "three hundred twelve trillion, three hundred forty-four billion, one hundred one million, four hundred ten thousand, four hundred one".