2013443120 has 80 divisors (see below), whose sum is σ = 5059905312. Its totient is φ = 740689920.

The previous prime is 2013443111. The next prime is 2013443147. The reversal of 2013443120 is 213443102.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 2013443092 and 2013443101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290900 + ... + 297740.

Almost surely, 2^2013443120 is an apocalyptic number.

2013443120 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 2013443120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529952656).

2013443120 is an abundant number, since it is smaller than the sum of its proper divisors (3046462192).

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

2013443120 is a wasteful number, since it uses less digits than its factorization.

2013443120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7150 (or 7144 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2013443120 is about 44871.4064856452. The cubic root of 2013443120 is about 1262.7376270027.

Adding to 2013443120 its reverse (213443102), we get a palindrome (2226886222).

The spelling of 2013443120 in words is "two billion, thirteen million, four hundred forty-three thousand, one hundred twenty".