213123303321312 has 48 divisors (see below), whose sum is σ = 562288512238992. Its totient is φ = 70680486374400.

The previous prime is 213123303321289. The next prime is 213123303321343.

213123303321312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 213123303321312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5634586189 + ... + 5634624012.

It is an arithmetic number, because the mean of its divisors is an integer number (11714344004979).

Almost surely, 2^{213123303321312} is an apocalyptic number.

It is an amenable number.

213123303321312 is an abundant number, since it is smaller than the sum of its proper divisors (349165208917680).

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

213123303321312 is a wasteful number, since it uses less digits than its factorization.

213123303321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11269210411 (or 11269210403 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 21312330 and 3321312, that added together give a palindrome (24633642).

The spelling of 213123303321312 in words is "two hundred thirteen trillion, one hundred twenty-three billion, three hundred three million, three hundred twenty-one thousand, three hundred twelve".