213211020 has 96 divisors (see below), whose sum is σ = 668941056. Its totient is φ = 50284800.

The previous prime is 213211007. The next prime is 213211021. The reversal of 213211020 is 20112312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 213210987 and 213211005.

It is not an unprimeable number, because it can be changed into a prime (213211021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20055 + ... + 28785.

It is an arithmetic number, because the mean of its divisors is an integer number (6968136).

Almost surely, 2^213211020 is an apocalyptic number.

213211020 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 213211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334470528).

213211020 is an abundant number, since it is smaller than the sum of its proper divisors (455730036).

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

213211020 is a wasteful number, since it uses less digits than its factorization.

213211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8791 (or 8789 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 213211020 is about 14601.7471557345. The cubic root of 213211020 is about 597.4064161362.

Adding to 213211020 its reverse (20112312), we get a palindrome (233323332).

The spelling of 213211020 in words is "two hundred thirteen million, two hundred eleven thousand, twenty".