213213203112 has 256 divisors, whose sum is σ = 672291164160. Its totient is φ = 54843070464.

The previous prime is 213213203101. The next prime is 213213203117. The reversal of 213213203112 is 211302312312.

213213203112 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (213213203117) 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 63 ways as a sum of consecutive naturals, for example, 87994333 + ... + 87996755.

It is an arithmetic number, because the mean of its divisors is an integer number (2626137360).

Almost surely, 2^213213203112 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 213213203112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336145582080).

213213203112 is an abundant number, since it is smaller than the sum of its proper divisors (459077961048).

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

213213203112 is a wasteful number, since it uses less digits than its factorization.

213213203112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213213203112 its reverse (211302312312), we get a palindrome (424515515424).

The spelling of 213213203112 in words is "two hundred thirteen billion, two hundred thirteen million, two hundred three thousand, one hundred twelve".