2100213320 has 64 divisors (see below), whose sum is σ = 5010044400. Its totient is φ = 789626880.

The previous prime is 2100213287. The next prime is 2100213343. The reversal of 2100213320 is 233120012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1574978596 + 525234724 = 39686^2 + 22918^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2100213295 and 2100213304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684590 + ... + 687650.

Almost surely, 2^2100213320 is an apocalyptic number.

2100213320 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 2100213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505022200).

2100213320 is an abundant number, since it is smaller than the sum of its proper divisors (2909831080).

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

2100213320 is a wasteful number, since it uses less digits than its factorization.

2100213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098 (or 4094 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2100213320 is about 45828.0844024709. The cubic root of 2100213320 is about 1280.6225243364.

Adding to 2100213320 its reverse (233120012), we get a palindrome (2333333332).

The spelling of 2100213320 in words is "two billion, one hundred million, two hundred thirteen thousand, three hundred twenty".