112013112132 has 72 divisors (see below), whose sum is σ = 310137773400. Its totient is φ = 33929591808.

The previous prime is 112013112121. The next prime is 112013112137. The reversal of 112013112132 is 231211310211.

It can be written as a sum of positive squares in 4 ways, for example, as 20091361536 + 91921750596 = 141744^2 + 303186^2 .

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

It is not an unprimeable number, because it can be changed into a prime (112013112137) 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 23 ways as a sum of consecutive naturals, for example, 3137907 + ... + 3173402.

It is an arithmetic number, because the mean of its divisors is an integer number (4307469075).

Almost surely, 2^112013112132 is an apocalyptic number.

112013112132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112013112132 is an abundant number, since it is smaller than the sum of its proper divisors (198124661268).

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

112013112132 is a wasteful number, since it uses less digits than its factorization.

112013112132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6311365 (or 6311360 counting only the distinct ones).

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

Adding to 112013112132 its reverse (231211310211), we get a palindrome (343224422343).

The spelling of 112013112132 in words is "one hundred twelve billion, thirteen million, one hundred twelve thousand, one hundred thirty-two".