13821727495691 has 2 divisors, whose sum is σ = 13821727495692. Its totient is φ = 13821727495690.

The previous prime is 13821727495621. The next prime is 13821727495699. The reversal of 13821727495691 is 19659472712831.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13821727495691 is a prime.

It is a super-3 number, since 3×13821727495691³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (13821727495699) 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, 6910863747845 + 6910863747846.

It is an arithmetic number, because the mean of its divisors is an integer number (6910863747846).

Almost surely, 2^{13821727495691} is an apocalyptic number.

13821727495691 is a deficient number, since it is larger than the sum of its proper divisors (1).

13821727495691 is an equidigital number, since it uses as much as digits as its factorization.

13821727495691 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45722880, while the sum is 65.

The spelling of 13821727495691 in words is "thirteen trillion, eight hundred twenty-one billion, seven hundred twenty-seven million, four hundred ninety-five thousand, six hundred ninety-one".