213320444023312 has 20 divisors (see below), whose sum is σ = 437620616783676. Its totient is φ = 100386091304960.

The previous prime is 213320444023289. The next prime is 213320444023391.

213320444023312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 105752099885056 + 107568344138256 = 10283584^2 + 10371516^2 .

It is a super-2 number, since 2×213320444023312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 392133168889 + ... + 392133169432.

Almost surely, 2^{213320444023312} is an apocalyptic number.

It is an amenable number.

213320444023312 is an abundant number, since it is smaller than the sum of its proper divisors (224300172760364).

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

213320444023312 is a wasteful number, since it uses less digits than its factorization.

213320444023312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784266338346 (or 784266338340 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

The spelling of 213320444023312 in words is "two hundred thirteen trillion, three hundred twenty billion, four hundred forty-four million, twenty-three thousand, three hundred twelve".