10005123360179 has 2 divisors, whose sum is σ = 10005123360180. Its totient is φ = 10005123360178.

The previous prime is 10005123360157. The next prime is 10005123360181. The reversal of 10005123360179 is 97106332150001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10005123360179 - 2⁸ = 10005123359923 is a prime.

It is a super-3 number, since 3×10005123360179³ (a number of 40 digits) contains 333 as substring.

Together with 10005123360181, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10005123360149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002561680089 + 5002561680090.

It is an arithmetic number, because the mean of its divisors is an integer number (5002561680090).

Almost surely, 2^{10005123360179} is an apocalyptic number.

10005123360179 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005123360179 is an equidigital number, since it uses as much as digits as its factorization.

10005123360179 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34020, while the sum is 38.

The spelling of 10005123360179 in words is "ten trillion, five billion, one hundred twenty-three million, three hundred sixty thousand, one hundred seventy-nine".