213332222233312 has 240 divisors, whose sum is σ = 550599880834080. Its totient is φ = 80725801153536.

The previous prime is 213332222233307. The next prime is 213332222233313.

213332222233312 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213332222233313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18329614 + ... + 27615922.

It is an arithmetic number, because the mean of its divisors is an integer number (2294166170142).

Almost surely, 2^{213332222233312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213332222233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275299940417040).

213332222233312 is an abundant number, since it is smaller than the sum of its proper divisors (337267658600768).

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

213332222233312 is an equidigital number, since it uses as much as digits as its factorization.

213332222233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9286383 (or 9286354 counting only the distinct ones).

The product of its digits is 93312, while the sum is 34.

The spelling of 213332222233312 in words is "two hundred thirteen trillion, three hundred thirty-two billion, two hundred twenty-two million, two hundred thirty-three thousand, three hundred twelve".