213333782112 has 288 divisors, whose sum is σ = 667717779456. Its totient is φ = 64073318400.

The previous prime is 213333782071. The next prime is 213333782183. The reversal of 213333782112 is 211287333312.

213333782112 is a `hidden beast` number, since 2 + 133 + 337 + 82 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×213333782112² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234174937 + ... + 234175847.

It is an arithmetic number, because the mean of its divisors is an integer number (2318464512).

Almost surely, 2^213333782112 is an apocalyptic number.

213333782112 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 213333782112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333858889728).

213333782112 is an abundant number, since it is smaller than the sum of its proper divisors (454383997344).

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

213333782112 is a wasteful number, since it uses less digits than its factorization.

213333782112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1503 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The spelling of 213333782112 in words is "two hundred thirteen billion, three hundred thirty-three million, seven hundred eighty-two thousand, one hundred twelve".