101110111111113 has 16 divisors (see below), whose sum is σ = 145358880515520. Its totient is φ = 62146550597184.

The previous prime is 101110111111081. The next prime is 101110111111193. The reversal of 101110111111113 is 311111111011101.

It is not a de Polignac number, because 101110111111113 - 2⁵ = 101110111111081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101110111111092 and 101110111111101.

It is not an unprimeable number, because it can be changed into a prime (101110111111193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1563638931 + ... + 1563703592.

It is an arithmetic number, because the mean of its divisors is an integer number (9084930032220).

Almost surely, 2^{101110111111113} is an apocalyptic number.

101110111111113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101110111111113 is a deficient number, since it is larger than the sum of its proper divisors (44248769404407).

101110111111113 is a wasteful number, since it uses less digits than its factorization.

101110111111113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127343368.

The product of its (nonzero) digits is 3, while the sum is 15.

Adding to 101110111111113 its reverse (311111111011101), we get a palindrome (412221222122214).

The spelling of 101110111111113 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven million, one hundred eleven thousand, one hundred thirteen".