213123040321312 has 144 divisors (see below), whose sum is σ = 467763211843200. Its totient is φ = 95495462092800.

The previous prime is 213123040321297. The next prime is 213123040321313.

213123040321312 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (213123040321313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1968040864 + ... + 1968149152.

It is an arithmetic number, because the mean of its divisors is an integer number (3248355637800).

Almost surely, 2^{213123040321312} is an apocalyptic number.

213123040321312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213123040321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233881605921600).

213123040321312 is an abundant number, since it is smaller than the sum of its proper divisors (254640171521888).

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

213123040321312 is a wasteful number, since it uses less digits than its factorization.

213123040321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115551 (or 115532 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 213123040321312 in words is "two hundred thirteen trillion, one hundred twenty-three billion, forty million, three hundred twenty-one thousand, three hundred twelve".