213314321310208 has 80 divisors (see below), whose sum is σ = 430239605324760. Its totient is φ = 105649812504576.

The previous prime is 213314321310203. The next prime is 213314321310229. The reversal of 213314321310208 is 802013123413312.

It can be written as a sum of positive squares in 4 ways, for example, as 201002980712704 + 12311340597504 = 14177552^2 + 3508752^2 .

It is not an unprimeable number, because it can be changed into a prime (213314321310203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204686260 + ... + 205725772.

Almost surely, 2^{213314321310208} 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 213314321310208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215119802662380).

213314321310208 is an abundant number, since it is smaller than the sum of its proper divisors (216925284014552).

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

213314321310208 is a wasteful number, since it uses less digits than its factorization.

213314321310208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043317 (or 1043301 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

It can be divided in two parts, 2133 and 14321310208, that added together give a palindrome (14321312341).

The spelling of 213314321310208 in words is "two hundred thirteen trillion, three hundred fourteen billion, three hundred twenty-one million, three hundred ten thousand, two hundred eight".