4113101200 has 120 divisors (see below), whose sum is σ = 10692593408. Its totient is φ = 1511447040.

The previous prime is 4113101197. The next prime is 4113101219. The reversal of 4113101200 is 21013114.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1157827 + ... + 1161373.

Almost surely, 2^4113101200 is an apocalyptic number.

4113101200 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 4113101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346296704).

4113101200 is an abundant number, since it is smaller than the sum of its proper divisors (6579492208).

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

4113101200 is a wasteful number, since it uses less digits than its factorization.

4113101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 4113101200 is about 64133.4639638309. The cubic root of 4113101200 is about 1602.2236269953.

Adding to 4113101200 its reverse (21013114), we get a palindrome (4134114314).

The spelling of 4113101200 in words is "four billion, one hundred thirteen million, one hundred one thousand, two hundred".