10006733805191 has 2 divisors, whose sum is σ = 10006733805192. Its totient is φ = 10006733805190.

The previous prime is 10006733805053. The next prime is 10006733805193. The reversal of 10006733805191 is 19150833760001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10006733805191 - 2³⁴ = 9989553936007 is a prime.

Together with 10006733805193, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10006733805193) 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 as a sum of consecutive naturals, namely, 5003366902595 + 5003366902596.

It is an arithmetic number, because the mean of its divisors is an integer number (5003366902596).

Almost surely, 2^{10006733805191} is an apocalyptic number.

10006733805191 is a deficient number, since it is larger than the sum of its proper divisors (1).

10006733805191 is an equidigital number, since it uses as much as digits as its factorization.

10006733805191 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 44.

The spelling of 10006733805191 in words is "ten trillion, six billion, seven hundred thirty-three million, eight hundred five thousand, one hundred ninety-one".