113332240000 has 320 divisors, whose sum is σ = 323873827200. Its totient is φ = 38684160000.

The previous prime is 113332239997. The next prime is 113332240019. The reversal of 113332240000 is 42233311.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 113332240000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 245839770 + ... + 245840230.

It is an arithmetic number, because the mean of its divisors is an integer number (1012105710).

Almost surely, 2^113332240000 is an apocalyptic number.

113332240000 is a gapful number since it is divisible by the number (10) 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 113332240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161936913600).

113332240000 is an abundant number, since it is smaller than the sum of its proper divisors (210541587200).

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

113332240000 is an frugal number, since it uses more digits than its factorization.

113332240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 113332240000 its reverse (42233311), we get a palindrome (113374473311).

The spelling of 113332240000 in words is "one hundred thirteen billion, three hundred thirty-two million, two hundred forty thousand".