2013043120 has 240 divisors, whose sum is σ = 5450276160. Its totient is φ = 689920000.

The previous prime is 2013043093. The next prime is 2013043157. The reversal of 2013043120 is 213403102.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2013043094 and 2013043103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19931070 + ... + 19931170.

It is an arithmetic number, because the mean of its divisors is an integer number (22709484).

Almost surely, 2^2013043120 is an apocalyptic number.

2013043120 is a gapful number since it is divisible by the number (20) 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 2013043120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725138080).

2013043120 is an abundant number, since it is smaller than the sum of its proper divisors (3437233040).

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

2013043120 is a wasteful number, since it uses less digits than its factorization.

2013043120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2013043120 is about 44866.9490828160. The cubic root of 2013043120 is about 1262.6540010160.

Adding to 2013043120 its reverse (213403102), we get a palindrome (2226446222).

The spelling of 2013043120 in words is "two billion, thirteen million, forty-three thousand, one hundred twenty".