314131241201 has 2 divisors, whose sum is σ = 314131241202. Its totient is φ = 314131241200.

The previous prime is 314131241191. The next prime is 314131241233. The reversal of 314131241201 is 102142131413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198003640576 + 116127600625 = 444976^2 + 340775^2 .

It is a cyclic number.

It is not a de Polignac number, because 314131241201 - 2³⁸ = 39253334257 is a prime.

It is not a weakly prime, because it can be changed into another prime (314131241261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157065620600 + 157065620601.

It is an arithmetic number, because the mean of its divisors is an integer number (157065620601).

Almost surely, 2^314131241201 is an apocalyptic number.

It is an amenable number.

314131241201 is a deficient number, since it is larger than the sum of its proper divisors (1).

314131241201 is an equidigital number, since it uses as much as digits as its factorization.

314131241201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 314131241201 its reverse (102142131413), we get a palindrome (416273372614).

The spelling of 314131241201 in words is "three hundred fourteen billion, one hundred thirty-one million, two hundred forty-one thousand, two hundred one".