10101313013191 has 2 divisors, whose sum is σ = 10101313013192. Its totient is φ = 10101313013190.

The previous prime is 10101313013147. The next prime is 10101313013219. The reversal of 10101313013191 is 19131031310101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10101313013191 - 2³¹ = 10099165529543 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101313013111) 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, 5050656506595 + 5050656506596.

It is an arithmetic number, because the mean of its divisors is an integer number (5050656506596).

Almost surely, 2^{10101313013191} is an apocalyptic number.

10101313013191 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101313013191 is an equidigital number, since it uses as much as digits as its factorization.

10101313013191 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 25.

Adding to 10101313013191 its reverse (19131031310101), we get a palindrome (29232344323292).

The spelling of 10101313013191 in words is "ten trillion, one hundred one billion, three hundred thirteen million, thirteen thousand, one hundred ninety-one".