13135413160064 has 64 divisors (see below), whose sum is σ = 28215141927000. Its totient is φ = 6055184719872.

The previous prime is 13135413160057. The next prime is 13135413160091. The reversal of 13135413160064 is 46006131453131.

It can be written as a sum of positive squares in 4 ways, for example, as 6699855974464 + 6435557185600 = 2588408^2 + 2536840^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 3381629 + ... + 6140540.

Almost surely, 2^{13135413160064} is an apocalyptic number.

It is an amenable number.

13135413160064 is an abundant number, since it is smaller than the sum of its proper divisors (15079728766936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13135413160064 is an equidigital number, since it uses as much as digits as its factorization.

13135413160064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9523025 (or 9523013 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 13135413160064 in words is "thirteen trillion, one hundred thirty-five billion, four hundred thirteen million, one hundred sixty thousand, sixty-four".