213212131222320 has 240 divisors, whose sum is σ = 747182638268352. Its totient is φ = 54383585034240.

The previous prime is 213212131222291. The next prime is 213212131222397. The reversal of 213212131222320 is 23222131212312.

213212131222320 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 1 + 2 + 1 + 312 + 22 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1874154240 + ... + 1874268000.

Almost surely, 2^{213212131222320} is an apocalyptic number.

213212131222320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213212131222320 is an abundant number, since it is smaller than the sum of its proper divisors (533970507046032).

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

213212131222320 is a wasteful number, since it uses less digits than its factorization.

213212131222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226980 (or 226971 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 213212131222320 its reverse (23222131212312), we get a palindrome (236434262434632).

The spelling of 213212131222320 in words is "two hundred thirteen trillion, two hundred twelve billion, one hundred thirty-one million, two hundred twenty-two thousand, three hundred twenty".