10011100110013 has 8 divisors (see below), whose sum is σ = 10305143320248. Its totient is φ = 9720951512064.

The previous prime is 10011100110007. The next prime is 10011100110041. The reversal of 10011100110013 is 31001100111001.

It can be written as a sum of positive squares in 4 ways, for example, as 1916267109849 + 8094833000164 = 1384293^2 + 2845142^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10011100110013 - 2⁵ = 10011100109981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011100110083) 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, 973647856 + ... + 973658137.

It is an arithmetic number, because the mean of its divisors is an integer number (1288142915031).

Almost surely, 2^{10011100110013} is an apocalyptic number.

It is an amenable number.

10011100110013 is a deficient number, since it is larger than the sum of its proper divisors (294043210235).

10011100110013 is an equidigital number, since it uses as much as digits as its factorization.

10011100110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947306143.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 10011100110013 its reverse (31001100111001), we get a palindrome (41012200221014).

The spelling of 10011100110013 in words is "ten trillion, eleven billion, one hundred million, one hundred ten thousand, thirteen".