2004131100 has 108 divisors (see below), whose sum is σ = 5938250136. Its totient is φ = 521861760.

The previous prime is 2004131099. The next prime is 2004131119. The reversal of 2004131100 is 11314002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 552894 + ... + 556506.

Almost surely, 2^2004131100 is an apocalyptic number.

2004131100 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 2004131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969125068).

2004131100 is an abundant number, since it is smaller than the sum of its proper divisors (3934119036).

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

2004131100 is a wasteful number, since it uses less digits than its factorization.

2004131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3716 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2004131100 is about 44767.5228262632. The cubic root of 2004131100 is about 1260.7879299487.

Adding to 2004131100 its reverse (11314002), we get a palindrome (2015445102).

The spelling of 2004131100 in words is "two billion, four million, one hundred thirty-one thousand, one hundred".