101320320313109 has 2 divisors, whose sum is σ = 101320320313110. Its totient is φ = 101320320313108.

The previous prime is 101320320313049. The next prime is 101320320313129. The reversal of 101320320313109 is 901313023023101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81982340448100 + 19337979865009 = 9054410^2 + 4397497^2 .

It is a cyclic number.

It is not a de Polignac number, because 101320320313109 - 2⁴⁴ = 83728134268693 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101320320313129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50660160156554 + 50660160156555.

It is an arithmetic number, because the mean of its divisors is an integer number (50660160156555).

Almost surely, 2^{101320320313109} is an apocalyptic number.

It is an amenable number.

101320320313109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101320320313109 is an equidigital number, since it uses as much as digits as its factorization.

101320320313109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 29.

The spelling of 101320320313109 in words is "one hundred one trillion, three hundred twenty billion, three hundred twenty million, three hundred thirteen thousand, one hundred nine".