312001303254401 has 2 divisors, whose sum is σ = 312001303254402. Its totient is φ = 312001303254400.

The previous prime is 312001303254391. The next prime is 312001303254439. The reversal of 312001303254401 is 104452303100213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 302160032328001 + 9841270926400 = 17382751^2 + 3137080^2 .

It is a cyclic number.

It is not a de Polignac number, because 312001303254401 - 2¹⁸ = 312001302992257 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (312001303254301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156000651627200 + 156000651627201.

It is an arithmetic number, because the mean of its divisors is an integer number (156000651627201).

Almost surely, 2^{312001303254401} is an apocalyptic number.

It is an amenable number.

312001303254401 is a deficient number, since it is larger than the sum of its proper divisors (1).

312001303254401 is an equidigital number, since it uses as much as digits as its factorization.

312001303254401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 312001303254401 its reverse (104452303100213), we get a palindrome (416453606354614).

The spelling of 312001303254401 in words is "three hundred twelve trillion, one billion, three hundred three million, two hundred fifty-four thousand, four hundred one".