213312101213312 has 128 divisors (see below), whose sum is σ = 429854972472000. Its totient is φ = 105430464000000.

The previous prime is 213312101213231. The next prime is 213312101213329.

213312101213312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28256997314 + ... + 28257004862.

Almost surely, 2^{213312101213312} 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 213312101213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214927486236000).

213312101213312 is an abundant number, since it is smaller than the sum of its proper divisors (216542871258688).

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

213312101213312 is a wasteful number, since it uses less digits than its factorization.

213312101213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10886 (or 10874 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

It can be divided in two parts, 21331210 and 1213312, that added together give a palindrome (22544522).

The spelling of 213312101213312 in words is "two hundred thirteen trillion, three hundred twelve billion, one hundred one million, two hundred thirteen thousand, three hundred twelve".