13627404363121 has 2 divisors, whose sum is σ = 13627404363122. Its totient is φ = 13627404363120.

The previous prime is 13627404363119. The next prime is 13627404363143. The reversal of 13627404363121 is 12136340472631.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11445122028096 + 2182282335025 = 3383064^2 + 1477255^2 .

It is a cyclic number.

It is not a de Polignac number, because 13627404363121 - 2¹ = 13627404363119 is a prime.

It is a super-2 number, since 2×13627404363121² (a number of 27 digits) contains 22 as substring.

Together with 13627404363119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13627404363151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6813702181560 + 6813702181561.

It is an arithmetic number, because the mean of its divisors is an integer number (6813702181561).

Almost surely, 2^{13627404363121} is an apocalyptic number.

It is an amenable number.

13627404363121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13627404363121 is an equidigital number, since it uses as much as digits as its factorization.

13627404363121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 435456, while the sum is 43.

The spelling of 13627404363121 in words is "thirteen trillion, six hundred twenty-seven billion, four hundred four million, three hundred sixty-three thousand, one hundred twenty-one".