113021440000000 has 1536 divisors, whose sum is σ = 354579281727840. Its totient is φ = 35782656000000.

The previous prime is 113021439999929. The next prime is 113021440000093. The reversal of 113021440000000 is 44120311.

It can be written as a sum of positive squares in 16 ways, for example, as 110217074458624 + 2804365541376 = 10498432^2 + 1674624^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 95 ways as a sum of consecutive naturals, for example, 2132479999974 + ... + 2132480000026.

Almost surely, 2^{113021440000000} is an apocalyptic number.

113021440000000 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 113021440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177289640863920).

113021440000000 is an abundant number, since it is smaller than the sum of its proper divisors (241557841727840).

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

113021440000000 is an frugal number, since it uses more digits than its factorization.

113021440000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 113021440000000 its reverse (44120311), we get a palindrome (113021484120311).

The spelling of 113021440000000 in words is "one hundred thirteen trillion, twenty-one billion, four hundred forty million", and thus it is an aban number.