9191011009191 has 96 divisors (see below), whose sum is σ = 14361544560384. Its totient is φ = 5206263321600.

The previous prime is 9191011009129. The next prime is 9191011009231. The reversal of 9191011009191 is 1919001101919.

It is not a de Polignac number, because 9191011009191 - 2⁹ = 9191011008679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9191011009111) 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 95 ways as a sum of consecutive naturals, for example, 1010996556 + ... + 1011005646.

It is an arithmetic number, because the mean of its divisors is an integer number (149599422504).

Almost surely, 2^{9191011009191} is an apocalyptic number.

9191011009191 is a deficient number, since it is larger than the sum of its proper divisors (5170533551193).

9191011009191 is a wasteful number, since it uses less digits than its factorization.

9191011009191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10253 (or 10242 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 42.

The spelling of 9191011009191 in words is "nine trillion, one hundred ninety-one billion, eleven million, nine thousand, one hundred ninety-one".