213303000303312 has 160 divisors (see below), whose sum is σ = 573586295568000. Its totient is φ = 68221505028096.

The previous prime is 213303000303227. The next prime is 213303000303359.

213303000303312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 2712048564 + ... + 2712127212.

It is an arithmetic number, because the mean of its divisors is an integer number (3584914347300).

Almost surely, 2^{213303000303312} 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 213303000303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286793147784000).

213303000303312 is an abundant number, since it is smaller than the sum of its proper divisors (360283295264688).

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

213303000303312 is a wasteful number, since it uses less digits than its factorization.

213303000303312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90805 (or 90799 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

It can be divided in two parts, 213303000 and 303312, that added together give a palindrome (213606312).

The spelling of 213303000303312 in words is "two hundred thirteen trillion, three hundred three billion, three hundred three thousand, three hundred twelve".