13973083822081 has 2 divisors, whose sum is σ = 13973083822082. Its totient is φ = 13973083822080.

The previous prime is 13973083822057. The next prime is 13973083822109. The reversal of 13973083822081 is 18022838037931.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11379260835856 + 2593822986225 = 3373316^2 + 1610535^2 .

It is a cyclic number.

It is not a de Polignac number, because 13973083822081 - 2³⁹ = 13423328008193 is a prime.

It is a super-2 number, since 2×13973083822081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13973083822021) 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, 6986541911040 + 6986541911041.

It is an arithmetic number, because the mean of its divisors is an integer number (6986541911041).

Almost surely, 2^{13973083822081} is an apocalyptic number.

It is an amenable number.

13973083822081 is a deficient number, since it is larger than the sum of its proper divisors (1).

13973083822081 is an equidigital number, since it uses as much as digits as its factorization.

13973083822081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 13973083822081 in words is "thirteen trillion, nine hundred seventy-three billion, eighty-three million, eight hundred twenty-two thousand, eighty-one".