10113113114 has 24 divisors (see below), whose sum is σ = 16498185660. Its totient is φ = 4647172608.

The previous prime is 10113113107. The next prime is 10113113117. The reversal of 10113113114 is 41131131101.

10113113114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4552875625 + 5560237489 = 67475^2 + 74567^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10113113092 and 10113113101.

It is not an unprimeable number, because it can be changed into a prime (10113113117) 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 11 ways as a sum of consecutive naturals, for example, 12074 + ... + 142730.

Almost surely, 2^10113113114 is an apocalyptic number.

10113113114 is a deficient number, since it is larger than the sum of its proper divisors (6385072546).

10113113114 is a wasteful number, since it uses less digits than its factorization.

10113113114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130914 (or 130901 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10113113114 its reverse (41131131101), we get a palindrome (51244244215).

The spelling of 10113113114 in words is "ten billion, one hundred thirteen million, one hundred thirteen thousand, one hundred fourteen".