13006191681 has 32 divisors (see below), whose sum is σ = 22156216320. Its totient is φ = 7386496272.

The previous prime is 13006191661. The next prime is 13006191689. The reversal of 13006191681 is 18619160031.

It is a happy number.

13006191681 is a `hidden beast` number, since 1 + 30 + 0 + 619 + 1 + 6 + 8 + 1 = 666.

It is not a de Polignac number, because 13006191681 - 2¹⁷ = 13006060609 is a prime.

It is a super-2 number, since 2×13006191681² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13006191689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180285 + ... + 241898.

It is an arithmetic number, because the mean of its divisors is an integer number (692381760).

Almost surely, 2^13006191681 is an apocalyptic number.

It is an amenable number.

13006191681 is a deficient number, since it is larger than the sum of its proper divisors (9150024639).

13006191681 is a wasteful number, since it uses less digits than its factorization.

13006191681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422362 (or 422356 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 13006191681 in words is "thirteen billion, six million, one hundred ninety-one thousand, six hundred eighty-one".