113134113312 has 144 divisors (see below), whose sum is σ = 327126885120. Its totient is φ = 34209809920.

The previous prime is 113134113311. The next prime is 113134113341. The reversal of 113134113312 is 213311431311.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (113134113311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5553898 + ... + 5574230.

It is an arithmetic number, because the mean of its divisors is an integer number (2271714480).

Almost surely, 2^113134113312 is an apocalyptic number.

113134113312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113134113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163563442560).

113134113312 is an abundant number, since it is smaller than the sum of its proper divisors (213992771808).

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

113134113312 is a wasteful number, since it uses less digits than its factorization.

113134113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20847 (or 20828 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

Adding to 113134113312 its reverse (213311431311), we get a palindrome (326445544623).

The spelling of 113134113312 in words is "one hundred thirteen billion, one hundred thirty-four million, one hundred thirteen thousand, three hundred twelve".