2013044100 has 72 divisors (see below), whose sum is σ = 5836293120. Its totient is φ = 535716480.

The previous prime is 2013044093. The next prime is 2013044113. The reversal of 2013044100 is 14403102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2013044100.

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 23 ways as a sum of consecutive naturals, for example, 146109 + ... + 159291.

Almost surely, 2^2013044100 is an apocalyptic number.

2013044100 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 2013044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918146560).

2013044100 is an abundant number, since it is smaller than the sum of its proper divisors (3823249020).

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

2013044100 is a wasteful number, since it uses less digits than its factorization.

2013044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13709 (or 13702 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2013044100 is about 44866.9600039940. The cubic root of 2013044100 is about 1262.6542059132.

Adding to 2013044100 its reverse (14403102), we get a palindrome (2027447202).

The spelling of 2013044100 in words is "two billion, thirteen million, forty-four thousand, one hundred".