2011120113344 has 56 divisors (see below), whose sum is σ = 4169557673568. Its totient is φ = 960632668160.

The previous prime is 2011120113341. The next prime is 2011120113389. The reversal of 2011120113344 is 4433110211102.

It is a super-2 number, since 2×2011120113344² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (2011120113341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316064 + ... + 2030304.

It is an arithmetic number, because the mean of its divisors is an integer number (74456387028).

Almost surely, 2^{2011120113344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011120113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084778836784).

2011120113344 is an abundant number, since it is smaller than the sum of its proper divisors (2158437560224).

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

2011120113344 is a wasteful number, since it uses less digits than its factorization.

2011120113344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715073 (or 1715063 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 2011120113344 its reverse (4433110211102), we get a palindrome (6444230324446).

The spelling of 2011120113344 in words is "two trillion, eleven billion, one hundred twenty million, one hundred thirteen thousand, three hundred forty-four".