101075338813 has 2 divisors, whose sum is σ = 101075338814. Its totient is φ = 101075338812.

The previous prime is 101075338811. The next prime is 101075338823. The reversal of 101075338813 is 318833570101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95044573849 + 6030764964 = 308293^2 + 77658^2 .

It is an emirp because it is prime and its reverse (318833570101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101075338813 - 2¹ = 101075338811 is a prime.

Together with 101075338811, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101075338811) 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, 50537669406 + 50537669407.

It is an arithmetic number, because the mean of its divisors is an integer number (50537669407).

Almost surely, 2^101075338813 is an apocalyptic number.

It is an amenable number.

101075338813 is a deficient number, since it is larger than the sum of its proper divisors (1).

101075338813 is an equidigital number, since it uses as much as digits as its factorization.

101075338813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 101075338813 in words is "one hundred one billion, seventy-five million, three hundred thirty-eight thousand, eight hundred thirteen".