127313122001 has 8 divisors (see below), whose sum is σ = 137198292840. Its totient is φ = 117441073152.

The previous prime is 127313121979. The next prime is 127313122007. The reversal of 127313122001 is 100221313721.

It can be written as a sum of positive squares in 4 ways, for example, as 27456490000 + 99856632001 = 165700^2 + 316001^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-127313122001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127313122007) 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 in 7 ways as a sum of consecutive naturals, for example, 3260336 + ... + 3299153.

It is an arithmetic number, because the mean of its divisors is an integer number (17149786605).

Almost surely, 2^127313122001 is an apocalyptic number.

It is an amenable number.

127313122001 is a deficient number, since it is larger than the sum of its proper divisors (9885170839).

127313122001 is a wasteful number, since it uses less digits than its factorization.

127313122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6560995.

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 127313122001 its reverse (100221313721), we get a palindrome (227534435722).

The spelling of 127313122001 in words is "one hundred twenty-seven billion, three hundred thirteen million, one hundred twenty-two thousand, one".