127113921819361 has 9 divisors (see below), whose sum is σ = 127778143067001. Its totient is φ = 126453135762432.

The previous prime is 127113921819301. The next prime is 127113921819397. The reversal of 127113921819361 is 163918129311721.

The square root of 127113921819361 is 11274481.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5819823329761 + 121294098489600 = 2412431^2 + 11013360^2 .

It is not a de Polignac number, because 127113921819361 - 2⁴¹ = 124914898563809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127113921819301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2175945625 + ... + 2176004041.

It is an arithmetic number, because the mean of its divisors is an integer number (14197571451889).

Almost surely, 2^{127113921819361} is an apocalyptic number.

127113921819361 is the 11274481-st square number.

127113921819361 is the 5637241-st centered octagonal number.

It is an amenable number.

127113921819361 is a deficient number, since it is larger than the sum of its proper divisors (664221247640).

127113921819361 is an frugal number, since it uses more digits than its factorization.

127113921819361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117220 (or 58610 counting only the distinct ones).

The product of its digits is 979776, while the sum is 55.

The spelling of 127113921819361 in words is "one hundred twenty-seven trillion, one hundred thirteen billion, nine hundred twenty-one million, eight hundred nineteen thousand, three hundred sixty-one".