314002211233201 has 2 divisors, whose sum is σ = 314002211233202. Its totient is φ = 314002211233200.

The previous prime is 314002211233199. The next prime is 314002211233259. The reversal of 314002211233201 is 102332112200413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 307222931506176 + 6779279727025 = 17527776^2 + 2603705^2 .

It is a cyclic number.

It is not a de Polignac number, because 314002211233201 - 2¹ = 314002211233199 is a prime.

Together with 314002211233199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (314002211239201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157001105616600 + 157001105616601.

It is an arithmetic number, because the mean of its divisors is an integer number (157001105616601).

Almost surely, 2^{314002211233201} is an apocalyptic number.

It is an amenable number.

314002211233201 is a deficient number, since it is larger than the sum of its proper divisors (1).

314002211233201 is an equidigital number, since it uses as much as digits as its factorization.

314002211233201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 314002211233201 its reverse (102332112200413), we get a palindrome (416334323433614).

The spelling of 314002211233201 in words is "three hundred fourteen trillion, two billion, two hundred eleven million, two hundred thirty-three thousand, two hundred one".