110112002312013 has 48 divisors (see below), whose sum is σ = 181375898152176. Its totient is φ = 63770019102720.

The previous prime is 110112002311967. The next prime is 110112002312027. The reversal of 110112002312013 is 310213200211011.

110112002312013 is a `hidden beast` number, since 110 + 1 + 120 + 0 + 231 + 201 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1608884222724 + 108503118089289 = 1268418^2 + 10416483^2 .

It is not a de Polignac number, because 110112002312013 - 2³⁰ = 110110928570189 is a prime.

It is a super-2 number, since 2×110112002312013² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110112002312513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21912081 + ... + 26464377.

It is an arithmetic number, because the mean of its divisors is an integer number (3778664544837).

Almost surely, 2^{110112002312013} is an apocalyptic number.

110112002312013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110112002312013 is a deficient number, since it is larger than the sum of its proper divisors (71263895840163).

110112002312013 is a wasteful number, since it uses less digits than its factorization.

110112002312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4564494 (or 4564491 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 110112002312013 its reverse (310213200211011), we get a palindrome (420325202523024).

The spelling of 110112002312013 in words is "one hundred ten trillion, one hundred twelve billion, two million, three hundred twelve thousand, thirteen".