2013324100 has 36 divisors (see below), whose sum is σ = 4373134164. Its totient is φ = 804551680.

The previous prime is 2013324097. The next prime is 2013324149. The reversal of 2013324100 is 14233102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 582063876 + 1431260224 = 24126^2 + 37832^2 .

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 11 ways as a sum of consecutive naturals, for example, 100524 + ... + 118876.

It is an arithmetic number, because the mean of its divisors is an integer number (121475949).

Almost surely, 2^2013324100 is an apocalyptic number.

2013324100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013324100 is an abundant number, since it is smaller than the sum of its proper divisors (2359810064).

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

2013324100 is a wasteful number, since it uses less digits than its factorization.

2013324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19464 (or 19457 counting only the distinct ones).

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

The square root of 2013324100 is about 44870.0802317090. The cubic root of 2013324100 is about 1262.7127452479.

Adding to 2013324100 its reverse (14233102), we get a palindrome (2027557202).

The spelling of 2013324100 in words is "two billion, thirteen million, three hundred twenty-four thousand, one hundred".