13811319267841 has 2 divisors, whose sum is σ = 13811319267842. Its totient is φ = 13811319267840.

The previous prime is 13811319267791. The next prime is 13811319267881. The reversal of 13811319267841 is 14876291311831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13659706377216 + 151612890625 = 3695904^2 + 389375^2 .

It is a cyclic number.

It is not a de Polignac number, because 13811319267841 - 2¹³ = 13811319259649 is a prime.

It is not a weakly prime, because it can be changed into another prime (13811319267881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6905659633920 + 6905659633921.

It is an arithmetic number, because the mean of its divisors is an integer number (6905659633921).

Almost surely, 2^{13811319267841} is an apocalyptic number.

It is an amenable number.

13811319267841 is a deficient number, since it is larger than the sum of its proper divisors (1).

13811319267841 is an equidigital number, since it uses as much as digits as its factorization.

13811319267841 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1741824, while the sum is 55.

The spelling of 13811319267841 in words is "thirteen trillion, eight hundred eleven billion, three hundred nineteen million, two hundred sixty-seven thousand, eight hundred forty-one".