113311244000 has 192 divisors, whose sum is σ = 284746093632. Its totient is φ = 44299008000.

The previous prime is 113311243967. The next prime is 113311244029. The reversal of 113311244000 is 442113311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65083130 + ... + 65084870.

It is an arithmetic number, because the mean of its divisors is an integer number (1483052571).

Almost surely, 2^113311244000 is an apocalyptic number.

113311244000 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 113311244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142373046816).

113311244000 is an abundant number, since it is smaller than the sum of its proper divisors (171434849632).

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

113311244000 is a wasteful number, since it uses less digits than its factorization.

113311244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 113311244000 its reverse (442113311), we get a palindrome (113753357311).

The spelling of 113311244000 in words is "one hundred thirteen billion, three hundred eleven million, two hundred forty-four thousand".