314032112440201 has 2 divisors, whose sum is σ = 314032112440202. Its totient is φ = 314032112440200.

The previous prime is 314032112440181. The next prime is 314032112440217. The reversal of 314032112440201 is 102044211230413.

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., 266101081886025 + 47931030554176 = 16312605^2 + 6923224^2 .

It is a cyclic number.

It is not a de Polignac number, because 314032112440201 - 2¹¹ = 314032112438153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314032112440201.

It is not a weakly prime, because it can be changed into another prime (314032112440261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157016056220100 + 157016056220101.

It is an arithmetic number, because the mean of its divisors is an integer number (157016056220101).

Almost surely, 2^{314032112440201} is an apocalyptic number.

It is an amenable number.

314032112440201 is a deficient number, since it is larger than the sum of its proper divisors (1).

314032112440201 is an equidigital number, since it uses as much as digits as its factorization.

314032112440201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 314032112440201 its reverse (102044211230413), we get a palindrome (416076323670614).

The spelling of 314032112440201 in words is "three hundred fourteen trillion, thirty-two billion, one hundred twelve million, four hundred forty thousand, two hundred one".