213312112122 has 48 divisors (see below), whose sum is σ = 442820373120. Its totient is φ = 68491438080.

The previous prime is 213312112121. The next prime is 213312112127. The reversal of 213312112122 is 221211213312.

213312112122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (213312112121) 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 23 ways as a sum of consecutive naturals, for example, 662938 + ... + 930650.

It is an arithmetic number, because the mean of its divisors is an integer number (9225424440).

Almost surely, 2^213312112122 is an apocalyptic number.

213312112122 is an abundant number, since it is smaller than the sum of its proper divisors (229508260998).

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

213312112122 is a wasteful number, since it uses less digits than its factorization.

213312112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267879 (or 267838 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 213312112122 its reverse (221211213312), we get a palindrome (434523325434).

The spelling of 213312112122 in words is "two hundred thirteen billion, three hundred twelve million, one hundred twelve thousand, one hundred twenty-two".