312110040011201 has 2 divisors, whose sum is σ = 312110040011202. Its totient is φ = 312110040011200.

The previous prime is 312110040011197. The next prime is 312110040011243. The reversal of 312110040011201 is 102110040011213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 253319851800625 + 58790188210576 = 15916025^2 + 7667476^2 .

It is a cyclic number.

It is not a de Polignac number, because 312110040011201 - 2² = 312110040011197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312110040011201.

It is not a weakly prime, because it can be changed into another prime (312110040011251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156055020005600 + 156055020005601.

It is an arithmetic number, because the mean of its divisors is an integer number (156055020005601).

Almost surely, 2^{312110040011201} is an apocalyptic number.

It is an amenable number.

312110040011201 is a deficient number, since it is larger than the sum of its proper divisors (1).

312110040011201 is an equidigital number, since it uses as much as digits as its factorization.

312110040011201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 312110040011201 its reverse (102110040011213), we get a palindrome (414220080022414).

The spelling of 312110040011201 in words is "three hundred twelve trillion, one hundred ten billion, forty million, eleven thousand, two hundred one".