13127734112261 has 2 divisors, whose sum is σ = 13127734112262. Its totient is φ = 13127734112260.

The previous prime is 13127734112249. The next prime is 13127734112329. The reversal of 13127734112261 is 16221143772131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13071514857025 + 56219255236 = 3615455^2 + 237106^2 .

It is a cyclic number.

It is not a de Polignac number, because 13127734112261 - 2⁶ = 13127734112197 is a prime.

It is a super-2 number, since 2×13127734112261² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13127734112231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6563867056130 + 6563867056131.

It is an arithmetic number, because the mean of its divisors is an integer number (6563867056131).

Almost surely, 2^{13127734112261} is an apocalyptic number.

It is an amenable number.

13127734112261 is a deficient number, since it is larger than the sum of its proper divisors (1).

13127734112261 is an equidigital number, since it uses as much as digits as its factorization.

13127734112261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84672, while the sum is 41.

Adding to 13127734112261 its reverse (16221143772131), we get a palindrome (29348877884392).

The spelling of 13127734112261 in words is "thirteen trillion, one hundred twenty-seven billion, seven hundred thirty-four million, one hundred twelve thousand, two hundred sixty-one".