213200444002312 has 64 divisors (see below), whose sum is σ = 434502501879600. Its totient is φ = 97485768622080.

The previous prime is 213200444002303. The next prime is 213200444002331.

213200444002312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 2322009106596 + 210878434895716 = 1523814^2 + 14521654^2 .

It is a super-2 number, since 2×213200444002312² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93839112 + ... + 96084232.

Almost surely, 2^{213200444002312} 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 213200444002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217251250939800).

213200444002312 is an abundant number, since it is smaller than the sum of its proper divisors (221302057877288).

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

213200444002312 is a wasteful number, since it uses less digits than its factorization.

213200444002312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253626 (or 2253622 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 213200444002312 in words is "two hundred thirteen trillion, two hundred billion, four hundred forty-four million, two thousand, three hundred twelve".