127683395321 has 2 divisors, whose sum is σ = 127683395322. Its totient is φ = 127683395320.

The previous prime is 127683395221. The next prime is 127683395381. The reversal of 127683395321 is 123593386721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127677582400 + 5812921 = 357320^2 + 2411^2 .

It is a cyclic number.

It is not a de Polignac number, because 127683395321 - 2¹⁰ = 127683394297 is a prime.

It is a super-3 number, since 3×127683395321³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127683395321.

It is not a weakly prime, because it can be changed into another prime (127683395381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63841697660 + 63841697661.

It is an arithmetic number, because the mean of its divisors is an integer number (63841697661).

Almost surely, 2^127683395321 is an apocalyptic number.

It is an amenable number.

127683395321 is a deficient number, since it is larger than the sum of its proper divisors (1).

127683395321 is an equidigital number, since it uses as much as digits as its factorization.

127683395321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1632960, while the sum is 50.

The spelling of 127683395321 in words is "one hundred twenty-seven billion, six hundred eighty-three million, three hundred ninety-five thousand, three hundred twenty-one".