213101200 has 120 divisors (see below), whose sum is σ = 557964288. Its totient is φ = 77744640.

The previous prime is 213101179. The next prime is 213101201. The reversal of 213101200 is 2101312.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (213101201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556209 + ... + 556591.

Almost surely, 2^213101200 is an apocalyptic number.

213101200 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 213101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278982144).

213101200 is an abundant number, since it is smaller than the sum of its proper divisors (344863088).

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

213101200 is a wasteful number, since it uses less digits than its factorization.

213101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 213101200 is about 14597.9861624815. The cubic root of 213101200 is about 597.3038285056.

Adding to 213101200 its reverse (2101312), we get a palindrome (215202512).

The spelling of 213101200 in words is "two hundred thirteen million, one hundred one thousand, two hundred".