213120221320 has 64 divisors (see below), whose sum is σ = 488138400000. Its totient is φ = 83720359680.

The previous prime is 213120221299. The next prime is 213120221329. The reversal of 213120221320 is 23122021312.

It is not an unprimeable number, because it can be changed into a prime (213120221329) 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, 1511181 + ... + 1646179.

It is an arithmetic number, because the mean of its divisors is an integer number (7627162500).

Almost surely, 2^213120221320 is an apocalyptic number.

213120221320 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 213120221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244069200000).

213120221320 is an abundant number, since it is smaller than the sum of its proper divisors (275018178680).

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

213120221320 is a wasteful number, since it uses less digits than its factorization.

213120221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135718 (or 135714 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 213120221320 its reverse (23122021312), we get a palindrome (236242242632).

The spelling of 213120221320 in words is "two hundred thirteen billion, one hundred twenty million, two hundred twenty-one thousand, three hundred twenty".