13313741091841 has 2 divisors, whose sum is σ = 13313741091842. Its totient is φ = 13313741091840.

The previous prime is 13313741091817. The next prime is 13313741091869. The reversal of 13313741091841 is 14819014731331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12435920131600 + 877820960241 = 3526460^2 + 936921^2 .

It is a cyclic number.

It is not a de Polignac number, because 13313741091841 - 2¹⁷ = 13313740960769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13313741091791 and 13313741091800.

It is not a weakly prime, because it can be changed into another prime (13313741091041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6656870545920 + 6656870545921.

It is an arithmetic number, because the mean of its divisors is an integer number (6656870545921).

Almost surely, 2^{13313741091841} is an apocalyptic number.

It is an amenable number.

13313741091841 is a deficient number, since it is larger than the sum of its proper divisors (1).

13313741091841 is an equidigital number, since it uses as much as digits as its factorization.

13313741091841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 13313741091841 in words is "thirteen trillion, three hundred thirteen billion, seven hundred forty-one million, ninety-one thousand, eight hundred forty-one".