2013344100 has 360 divisors, whose sum is σ = 6941930688. Its totient is φ = 503712000.

The previous prime is 2013344087. The next prime is 2013344107. The reversal of 2013344100 is 14433102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013344107) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 18816247 + ... + 18816353.

Almost surely, 2^2013344100 is an apocalyptic number.

2013344100 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 2013344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3470965344).

2013344100 is an abundant number, since it is smaller than the sum of its proper divisors (4928586588).

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

2013344100 is a wasteful number, since it uses less digits than its factorization.

2013344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2013344100 is about 44870.3030968145. The cubic root of 2013344100 is about 1262.7169264213.

Adding to 2013344100 its reverse (14433102), we get a palindrome (2027777202).

The spelling of 2013344100 in words is "two billion, thirteen million, three hundred forty-four thousand, one hundred".