213321123312 has 40 divisors (see below), whose sum is σ = 601177712640. Its totient is φ = 64642764480.

The previous prime is 213321123299. The next prime is 213321123331.

213321123312 is nontrivially palindromic in base 10.

213321123312 is digitally balanced in base 2, because in such base 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 (24).

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 202008112 + ... + 202009167.

It is an arithmetic number, because the mean of its divisors is an integer number (15029442816).

Almost surely, 2^213321123312 is an apocalyptic number.

213321123312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213321123312 is an abundant number, since it is smaller than the sum of its proper divisors (387856589328).

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

213321123312 is a wasteful number, since it uses less digits than its factorization.

213321123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404017301 (or 404017295 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

It can be divided in two parts, 213321 and 123312, that added together give a palindrome (336633).

The spelling of 213321123312 in words is "two hundred thirteen billion, three hundred twenty-one million, one hundred twenty-three thousand, three hundred twelve".