101000113200013 has 8 divisors (see below), whose sum is σ = 101013685866360. Its totient is φ = 100986541455360.

The previous prime is 101000113200011. The next prime is 101000113200053. The reversal of 101000113200013 is 310002311000101.

It can be written as a sum of positive squares in 4 ways, for example, as 4753280760804 + 96246832439209 = 2180202^2 + 9810547^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101000113200013 - 2¹ = 101000113200011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000113199966 and 101000113200002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000113200011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234769081 + ... + 235198897.

It is an arithmetic number, because the mean of its divisors is an integer number (12626710733295).

Almost surely, 2^{101000113200013} is an apocalyptic number.

It is an amenable number.

101000113200013 is a deficient number, since it is larger than the sum of its proper divisors (13572666347).

101000113200013 is a wasteful number, since it uses less digits than its factorization.

101000113200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460847.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101000113200013 its reverse (310002311000101), we get a palindrome (411002424200114).

The spelling of 101000113200013 in words is "one hundred one trillion, one hundred thirteen million, two hundred thousand, thirteen".