11000102113 has 32 divisors (see below), whose sum is σ = 14805181440. Its totient is φ = 7892976960.

The previous prime is 11000102111. The next prime is 11000102119. The reversal of 11000102113 is 31120100011.

11000102113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11000102113 - 2¹ = 11000102111 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11000102113.

It is not an unprimeable number, because it can be changed into a prime (11000102111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406306 + ... + 432532.

It is an arithmetic number, because the mean of its divisors is an integer number (462661920).

Almost surely, 2^11000102113 is an apocalyptic number.

11000102113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11000102113 is a deficient number, since it is larger than the sum of its proper divisors (3805079327).

11000102113 is a wasteful number, since it uses less digits than its factorization.

11000102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26677.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11000102113 its reverse (31120100011), we get a palindrome (42120202124).

The spelling of 11000102113 in words is "eleven billion, one hundred two thousand, one hundred thirteen".