213122232320 has 104 divisors (see below), whose sum is σ = 527930263680. Its totient is φ = 82498682880.

The previous prime is 213122232287. The next prime is 213122232329. The reversal of 213122232320 is 23232221312.

213122232320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213122232329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 467036 + ... + 802724.

Almost surely, 2^213122232320 is an apocalyptic number.

213122232320 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 213122232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263965131840).

213122232320 is an abundant number, since it is smaller than the sum of its proper divisors (314808031360).

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

213122232320 is an equidigital number, since it uses as much as digits as its factorization.

213122232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335749 (or 335727 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 213122232320 its reverse (23232221312), we get a palindrome (236354453632).

The spelling of 213122232320 in words is "two hundred thirteen billion, one hundred twenty-two million, two hundred thirty-two thousand, three hundred twenty".