4101313200 has 120 divisors (see below), whose sum is σ = 13155705600. Its totient is φ = 1092199680.

The previous prime is 4101313157. The next prime is 4101313217. The reversal of 4101313200 is 23131014.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4101313200.

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, 1100941 + ... + 1104659.

It is an arithmetic number, because the mean of its divisors is an integer number (109630880).

Almost surely, 2^4101313200 is an apocalyptic number.

4101313200 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 4101313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6577852800).

4101313200 is an abundant number, since it is smaller than the sum of its proper divisors (9054392400).

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

4101313200 is a wasteful number, since it uses less digits than its factorization.

4101313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659 (or 4648 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 4101313200 is about 64041.4959225657. The cubic root of 4101313200 is about 1600.6915239952.

Adding to 4101313200 its reverse (23131014), we get a palindrome (4124444214).

The spelling of 4101313200 in words is "four billion, one hundred one million, three hundred thirteen thousand, two hundred".