112001110013 has 16 divisors (see below), whose sum is σ = 129461166576. Its totient is φ = 95971184640.

The previous prime is 112001110009. The next prime is 112001110019. The reversal of 112001110013 is 310011100211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 55995289 + 111945114724 = 7483^2 + 334582^2 .

It is a cyclic number.

It is not a de Polignac number, because 112001110013 - 2² = 112001110009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112001109976 and 112001110003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112001110019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3455048 + ... + 3487313.

It is an arithmetic number, because the mean of its divisors is an integer number (8091322911).

Almost surely, 2^112001110013 is an apocalyptic number.

112001110013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

112001110013 is a deficient number, since it is larger than the sum of its proper divisors (17460056563).

112001110013 is a wasteful number, since it uses less digits than its factorization.

112001110013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6942464.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 112001110013 its reverse (310011100211), we get a palindrome (422012210224).

The spelling of 112001110013 in words is "one hundred twelve billion, one million, one hundred ten thousand, thirteen".