4113131200 has 84 divisors (see below), whose sum is σ = 10139664760. Its totient is φ = 1642199040.

The previous prime is 4113131189. The next prime is 4113131201. The reversal of 4113131200 is 21313114.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4113131201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 988324 + ... + 992476.

Almost surely, 2^4113131200 is an apocalyptic number.

4113131200 is a gapful number since it is divisible by the number (40) 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 4113131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5069832380).

4113131200 is an abundant number, since it is smaller than the sum of its proper divisors (6026533560).

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

4113131200 is a wasteful number, since it uses less digits than its factorization.

4113131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4794 (or 4779 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 4113131200 is about 64133.6978506619. The cubic root of 4113131200 is about 1602.2275224008.

Adding to 4113131200 its reverse (21313114), we get a palindrome (4134444314).

The spelling of 4113131200 in words is "four billion, one hundred thirteen million, one hundred thirty-one thousand, two hundred".