10131104342167 has 2 divisors, whose sum is σ = 10131104342168. Its totient is φ = 10131104342166.

The previous prime is 10131104342087. The next prime is 10131104342179. The reversal of 10131104342167 is 76124340113101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10131104342167 - 2²⁷ = 10130970124439 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131104342467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065552171083 + 5065552171084.

It is an arithmetic number, because the mean of its divisors is an integer number (5065552171084).

Almost surely, 2^{10131104342167} is an apocalyptic number.

10131104342167 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131104342167 is an equidigital number, since it uses as much as digits as its factorization.

10131104342167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 34.

Adding to 10131104342167 its reverse (76124340113101), we get a palindrome (86255444455268).

The spelling of 10131104342167 in words is "ten trillion, one hundred thirty-one billion, one hundred four million, three hundred forty-two thousand, one hundred sixty-seven".