213312122320 has 80 divisors (see below), whose sum is σ = 542800133568. Its totient is φ = 77315281920.

The previous prime is 213312122213. The next prime is 213312122321. The reversal of 213312122320 is 23221213312.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 213312122291 and 213312122300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213312122321) 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, 124629 + ... + 664948.

Almost surely, 2^213312122320 is an apocalyptic number.

213312122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213312122320 is an abundant number, since it is smaller than the sum of its proper divisors (329488011248).

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

213312122320 is a wasteful number, since it uses less digits than its factorization.

213312122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789908 (or 789902 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 213312122320 its reverse (23221213312), we get a palindrome (236533335632).

The spelling of 213312122320 in words is "two hundred thirteen billion, three hundred twelve million, one hundred twenty-two thousand, three hundred twenty".