213312620 has 48 divisors (see below), whose sum is σ = 474163200. Its totient is φ = 80383680.

The previous prime is 213312599. The next prime is 213312623. The reversal of 213312620 is 26213312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 213312592 and 213312601.

It is not an unprimeable number, because it can be changed into a prime (213312623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71111 + ... + 74049.

It is an arithmetic number, because the mean of its divisors is an integer number (9878400).

Almost surely, 2^213312620 is an apocalyptic number.

213312620 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 213312620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237081600).

213312620 is an abundant number, since it is smaller than the sum of its proper divisors (260850580).

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

213312620 is a wasteful number, since it uses less digits than its factorization.

213312620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 213312620 is about 14605.2257770977. The cubic root of 213312620 is about 597.5012937421.

Adding to 213312620 its reverse (26213312), we get a palindrome (239525932).

The spelling of 213312620 in words is "two hundred thirteen million, three hundred twelve thousand, six hundred twenty".