314220413137 has 2 divisors, whose sum is σ = 314220413138. Its totient is φ = 314220413136.

The previous prime is 314220413113. The next prime is 314220413147. The reversal of 314220413137 is 731314022413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 287428943376 + 26791469761 = 536124^2 + 163681^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-314220413137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314220413099 and 314220413108.

It is not a weakly prime, because it can be changed into another prime (314220413107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157110206568 + 157110206569.

It is an arithmetic number, because the mean of its divisors is an integer number (157110206569).

Almost surely, 2^314220413137 is an apocalyptic number.

It is an amenable number.

314220413137 is a deficient number, since it is larger than the sum of its proper divisors (1).

314220413137 is an equidigital number, since it uses as much as digits as its factorization.

314220413137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 31.

The spelling of 314220413137 in words is "three hundred fourteen billion, two hundred twenty million, four hundred thirteen thousand, one hundred thirty-seven".