101313121301159 has 2 divisors, whose sum is σ = 101313121301160. Its totient is φ = 101313121301158.

The previous prime is 101313121301137. The next prime is 101313121301257. The reversal of 101313121301159 is 951103121313101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101313121301159 - 2⁴⁰ = 100213609673383 is a prime.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101313121301759) 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, 50656560650579 + 50656560650580.

It is an arithmetic number, because the mean of its divisors is an integer number (50656560650580).

Almost surely, 2^{101313121301159} is an apocalyptic number.

101313121301159 is a deficient number, since it is larger than the sum of its proper divisors (1).

101313121301159 is an equidigital number, since it uses as much as digits as its factorization.

101313121301159 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2430, while the sum is 32.

The spelling of 101313121301159 in words is "one hundred one trillion, three hundred thirteen billion, one hundred twenty-one million, three hundred one thousand, one hundred fifty-nine".