213123121321312 has 24 divisors (see below), whose sum is σ = 437829020976816. Its totient is φ = 101928449327232.

The previous prime is 213123121321309. The next prime is 213123121321321.

213123121321312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213123121321312² (a number of 29 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 144784728423 + ... + 144784729894.

It is an arithmetic number, because the mean of its divisors is an integer number (18242875874034).

Almost surely, 2^{213123121321312} is an apocalyptic number.

It is an amenable number.

213123121321312 is an abundant number, since it is smaller than the sum of its proper divisors (224705899655504).

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

213123121321312 is a wasteful number, since it uses less digits than its factorization.

213123121321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289569458350 (or 289569458342 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The spelling of 213123121321312 in words is "two hundred thirteen trillion, one hundred twenty-three billion, one hundred twenty-one million, three hundred twenty-one thousand, three hundred twelve".