100311010111113 has 16 divisors (see below), whose sum is σ = 133762146960000. Its totient is φ = 66866940429696.

The previous prime is 100311010111099. The next prime is 100311010111159. The reversal of 100311010111113 is 311111010113001.

It is not a de Polignac number, because 100311010111113 - 2¹⁰ = 100311010110089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100311010111092 and 100311010111101.

It is not an unprimeable number, because it can be changed into a prime (100311010611113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2121299556 + ... + 2121346842.

It is an arithmetic number, because the mean of its divisors is an integer number (8360134185000).

Almost surely, 2^{100311010111113} is an apocalyptic number.

It is an amenable number.

100311010111113 is a deficient number, since it is larger than the sum of its proper divisors (33451136848887).

100311010111113 is a wasteful number, since it uses less digits than its factorization.

100311010111113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107056.

The product of its (nonzero) digits is 9, while the sum is 15.

Adding to 100311010111113 its reverse (311111010113001), we get a palindrome (411422020224114).

The spelling of 100311010111113 in words is "one hundred trillion, three hundred eleven billion, ten million, one hundred eleven thousand, one hundred thirteen".