4131113200 has 120 divisors (see below), whose sum is σ = 10197378576. Its totient is φ = 1607424000.

The previous prime is 4131113197. The next prime is 4131113201. The reversal of 4131113200 is 23111314.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131113201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7928940 + ... + 7929460.

Almost surely, 2^4131113200 is an apocalyptic number.

4131113200 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 4131113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098689288).

4131113200 is an abundant number, since it is smaller than the sum of its proper divisors (6066265376).

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

4131113200 is a wasteful number, since it uses less digits than its factorization.

4131113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1032 counting only the distinct ones).

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

The square root of 4131113200 is about 64273.7364714391. The cubic root of 4131113200 is about 1604.5590284489.

Adding to 4131113200 its reverse (23111314), we get a palindrome (4154224514).

The spelling of 4131113200 in words is "four billion, one hundred thirty-one million, one hundred thirteen thousand, two hundred".