213210112320 has 84 divisors (see below), whose sum is σ = 733353958740. Its totient is φ = 56856029184.

The previous prime is 213210112319. The next prime is 213210112399. The reversal of 213210112320 is 23211012312.

213210112320 is a `hidden beast` number, since 21 + 3 + 210 + 112 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 165154457664 + 48055654656 = 406392^2 + 219216^2 .

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 = 213210112293 and 213210112302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37012765 + ... + 37018524.

Almost surely, 2^213210112320 is an apocalyptic number.

213210112320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213210112320 is an abundant number, since it is smaller than the sum of its proper divisors (520143846420).

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

213210112320 is a wasteful number, since it uses less digits than its factorization.

213210112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74031312 (or 74031299 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213210112320 its reverse (23211012312), we get a palindrome (236421124632).

The spelling of 213210112320 in words is "two hundred thirteen billion, two hundred ten million, one hundred twelve thousand, three hundred twenty".