13547408073313 has 2 divisors, whose sum is σ = 13547408073314. Its totient is φ = 13547408073312.

The previous prime is 13547408073259. The next prime is 13547408073361. The reversal of 13547408073313 is 31337080474531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13335409525824 + 211998547489 = 3651768^2 + 460433^2 .

It is a cyclic number.

It is not a de Polignac number, because 13547408073313 - 2²¹ = 13547405976161 is a prime.

It is not a weakly prime, because it can be changed into another prime (13547408074313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6773704036656 + 6773704036657.

It is an arithmetic number, because the mean of its divisors is an integer number (6773704036657).

Almost surely, 2^{13547408073313} is an apocalyptic number.

It is an amenable number.

13547408073313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13547408073313 is an equidigital number, since it uses as much as digits as its factorization.

13547408073313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2540160, while the sum is 49.

The spelling of 13547408073313 in words is "thirteen trillion, five hundred forty-seven billion, four hundred eight million, seventy-three thousand, three hundred thirteen".