13113131112 has 24 divisors (see below), whose sum is σ = 35514730290. Its totient is φ = 4371043680.

The previous prime is 13113131111. The next prime is 13113131117. The reversal of 13113131112 is 21113131131.

13113131112 is a `hidden beast` number, since 1 + 311 + 31 + 311 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13022004996 + 91126116 = 114114^2 + 9546^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13113131111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91063339 + ... + 91063482.

Almost surely, 2^13113131112 is an apocalyptic number.

13113131112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13113131112 is an abundant number, since it is smaller than the sum of its proper divisors (22401599178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13113131112 is a wasteful number, since it uses less digits than its factorization.

13113131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182126833 (or 182126826 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

Adding to 13113131112 its reverse (21113131131), we get a palindrome (34226262243).

The spelling of 13113131112 in words is "thirteen billion, one hundred thirteen million, one hundred thirty-one thousand, one hundred twelve".