13127889314677 has 2 divisors, whose sum is σ = 13127889314678. Its totient is φ = 13127889314676.

The previous prime is 13127889314641. The next prime is 13127889314707. The reversal of 13127889314677 is 77641398872131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12874849127716 + 253040186961 = 3588154^2 + 503031^2 .

It is a cyclic number.

It is not a de Polignac number, because 13127889314677 - 2²⁷ = 13127755096949 is a prime.

It is a super-2 number, since 2×13127889314677² (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 (13127889312677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6563944657338 + 6563944657339.

It is an arithmetic number, because the mean of its divisors is an integer number (6563944657339).

Almost surely, 2^{13127889314677} is an apocalyptic number.

It is an amenable number.

13127889314677 is a deficient number, since it is larger than the sum of its proper divisors (1).

13127889314677 is an equidigital number, since it uses as much as digits as its factorization.

13127889314677 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 85349376, while the sum is 67.

The spelling of 13127889314677 in words is "thirteen trillion, one hundred twenty-seven billion, eight hundred eighty-nine million, three hundred fourteen thousand, six hundred seventy-seven".