10011101113 has 8 divisors (see below), whose sum is σ = 10887931656. Its totient is φ = 9149520000.

The previous prime is 10011101099. The next prime is 10011101123. The reversal of 10011101113 is 31110111001.

It can be written as a sum of positive squares in 4 ways, for example, as 5039864064 + 4971237049 = 70992^2 + 70507^2 .

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 10011101113 - 2²⁵ = 9977546681 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10011101113.

It is not an unprimeable number, because it can be changed into a prime (10011101123) 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, 3810988 + ... + 3813613.

It is an arithmetic number, because the mean of its divisors is an integer number (1360991457).

Almost surely, 2^10011101113 is an apocalyptic number.

10011101113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10011101113 is a deficient number, since it is larger than the sum of its proper divisors (876830543).

10011101113 is a wasteful number, since it uses less digits than its factorization.

10011101113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7624715.

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

Adding to 10011101113 its reverse (31110111001), we get a palindrome (41121212114).

The spelling of 10011101113 in words is "ten billion, eleven million, one hundred one thousand, one hundred thirteen".