213213022020 has 288 divisors, whose sum is σ = 680950093824. Its totient is φ = 53934336000.

The previous prime is 213213021961. The next prime is 213213022063. The reversal of 213213022020 is 20220312312.

213213022020 is a `hidden beast` number, since 2 + 1 + 321 + 302 + 20 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213213021984 and 213213022002.

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 95 ways as a sum of consecutive naturals, for example, 58046904 + ... + 58050576.

It is an arithmetic number, because the mean of its divisors is an integer number (2364410048).

Almost surely, 2^213213022020 is an apocalyptic number.

213213022020 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 213213022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340475046912).

213213022020 is an abundant number, since it is smaller than the sum of its proper divisors (467737071804).

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

213213022020 is a wasteful number, since it uses less digits than its factorization.

213213022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213213022020 its reverse (20220312312), we get a palindrome (233433334332).

The spelling of 213213022020 in words is "two hundred thirteen billion, two hundred thirteen million, twenty-two thousand, twenty".