13165632106641 has 24 divisors (see below), whose sum is σ = 21733937372160. Its totient is φ = 7523150679936.

The previous prime is 13165632106637. The next prime is 13165632106699. The reversal of 13165632106641 is 14660123656131.

13165632106641 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 5 + 632 + 1 + 0 + 6 + 6 + 4 + 1 = 666.

It is not a de Polignac number, because 13165632106641 - 2² = 13165632106637 is a prime.

It is a super-3 number, since 3×13165632106641³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13165632102641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6595920 + ... + 8356878.

It is an arithmetic number, because the mean of its divisors is an integer number (905580723840).

Almost surely, 2^{13165632106641} is an apocalyptic number.

It is an amenable number.

13165632106641 is a deficient number, since it is larger than the sum of its proper divisors (8568305265519).

13165632106641 is a wasteful number, since it uses less digits than its factorization.

13165632106641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879645 (or 1879642 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 13165632106641 in words is "thirteen trillion, one hundred sixty-five billion, six hundred thirty-two million, one hundred six thousand, six hundred forty-one".