127313101117 has 4 divisors (see below), whose sum is σ = 127313815356. Its totient is φ = 127312386880.

The previous prime is 127313101103. The next prime is 127313101141. The reversal of 127313101117 is 711101313721.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 711101313721 = 41 ⋅17343934481.

It can be written as a sum of positive squares in 2 ways, for example, as 102611949561 + 24701151556 = 320331^2 + 157166^2 .

It is a cyclic number.

It is not a de Polignac number, because 127313101117 - 2¹⁹ = 127312576829 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127313101147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156267 + ... + 528247.

It is an arithmetic number, because the mean of its divisors is an integer number (31828453839).

Almost surely, 2^127313101117 is an apocalyptic number.

It is an amenable number.

127313101117 is a deficient number, since it is larger than the sum of its proper divisors (714239).

127313101117 is an equidigital number, since it uses as much as digits as its factorization.

127313101117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714238.

The product of its (nonzero) digits is 882, while the sum is 28.

Adding to 127313101117 its reverse (711101313721), we get a palindrome (838414414838).

The spelling of 127313101117 in words is "one hundred twenty-seven billion, three hundred thirteen million, one hundred one thousand, one hundred seventeen".