213423222324312 has 576 divisors, whose sum is σ = 785670478145280. Its totient is φ = 50927849280000.

The previous prime is 213423222324289. The next prime is 213423222324371.

213423222324312 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 2 + 322 + 2 + 324 + 3 + 1 + 2 = 666.

213423222324312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 166641187 + ... + 167917037.

It is an arithmetic number, because the mean of its divisors is an integer number (1364011246780).

Almost surely, 2^{213423222324312} is an apocalyptic number.

213423222324312 is a gapful number since it is divisible by the number (22) 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 213423222324312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392835239072640).

213423222324312 is an abundant number, since it is smaller than the sum of its proper divisors (572247255820968).

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

213423222324312 is a wasteful number, since it uses less digits than its factorization.

213423222324312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276116 (or 1276098 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The spelling of 213423222324312 in words is "two hundred thirteen trillion, four hundred twenty-three billion, two hundred twenty-two million, three hundred twenty-four thousand, three hundred twelve".