13486573116833 has 2 divisors, whose sum is σ = 13486573116834. Its totient is φ = 13486573116832.

The previous prime is 13486573116767. The next prime is 13486573116859. The reversal of 13486573116833 is 33861137568431.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8978964306064 + 4507608810769 = 2996492^2 + 2123113^2 .

It is a cyclic number.

It is not a de Polignac number, because 13486573116833 - 2¹⁰ = 13486573115809 is a prime.

It is not a weakly prime, because it can be changed into another prime (13486573112833) 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, 6743286558416 + 6743286558417.

It is an arithmetic number, because the mean of its divisors is an integer number (6743286558417).

Almost surely, 2^{13486573116833} is an apocalyptic number.

It is an amenable number.

13486573116833 is a deficient number, since it is larger than the sum of its proper divisors (1).

13486573116833 is an equidigital number, since it uses as much as digits as its factorization.

13486573116833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26127360, while the sum is 59.

The spelling of 13486573116833 in words is "thirteen trillion, four hundred eighty-six billion, five hundred seventy-three million, one hundred sixteen thousand, eight hundred thirty-three".