213242122022320 has 80 divisors (see below), whose sum is σ = 502043674335840. Its totient is φ = 84221749112832.

The previous prime is 213242122022243. The next prime is 213242122022333. The reversal of 213242122022320 is 23220221242312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2763046 + ... + 20835514.

It is an arithmetic number, because the mean of its divisors is an integer number (6275545929198).

Almost surely, 2^{213242122022320} is an apocalyptic number.

213242122022320 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 213242122022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251021837167920).

213242122022320 is an abundant number, since it is smaller than the sum of its proper divisors (288801552313520).

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

213242122022320 is a wasteful number, since it uses less digits than its factorization.

213242122022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18074342 (or 18074336 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 213242122022320 its reverse (23220221242312), we get a palindrome (236462343264632).

The spelling of 213242122022320 in words is "two hundred thirteen trillion, two hundred forty-two billion, one hundred twenty-two million, twenty-two thousand, three hundred twenty".