127320013 has 2 divisors, whose sum is σ = 127320014. Its totient is φ = 127320012.

The previous prime is 127319989. The next prime is 127320023. The reversal of 127320013 is 310023721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127306089 + 13924 = 11283^2 + 118^2 .

It is a cyclic number.

It is not a de Polignac number, because 127320013 - 2⁹ = 127319501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (127320023) 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, 63660006 + 63660007.

It is an arithmetic number, because the mean of its divisors is an integer number (63660007).

Almost surely, 2^127320013 is an apocalyptic number.

It is an amenable number.

127320013 is a deficient number, since it is larger than the sum of its proper divisors (1).

127320013 is an equidigital number, since it uses as much as digits as its factorization.

127320013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 127320013 is about 11283.6170176057. The cubic root of 127320013 is about 503.0744079525.

Adding to 127320013 its reverse (310023721), we get a palindrome (437343734).

The spelling of 127320013 in words is "one hundred twenty-seven million, three hundred twenty thousand, thirteen".