213332122213122 has 16 divisors (see below), whose sum is σ = 465451903010592. Its totient is φ = 64646097640320.

The previous prime is 213332122213117. The next prime is 213332122213127. The reversal of 213332122213122 is 221312221233312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213332122213117) and next prime (213332122213127).

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

It is a self number, because there is not a number n which added to its sum of digits gives 213332122213122.

It is not an unprimeable number, because it can be changed into a prime (213332122213127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1616152440943 + ... + 1616152441074.

It is an arithmetic number, because the mean of its divisors is an integer number (29090743938162).

Almost surely, 2^{213332122213122} is an apocalyptic number.

213332122213122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

213332122213122 is an abundant number, since it is smaller than the sum of its proper divisors (252119780797470).

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

213332122213122 is a wasteful number, since it uses less digits than its factorization.

213332122213122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232304882033.

The product of its digits is 10368, while the sum is 30.

Adding to 213332122213122 its reverse (221312221233312), we get a palindrome (434644343446434).

The spelling of 213332122213122 in words is "two hundred thirteen trillion, three hundred thirty-two billion, one hundred twenty-two million, two hundred thirteen thousand, one hundred twenty-two".