213202112010313 has 8 divisors (see below), whose sum is σ = 229444124401800. Its totient is φ = 197371289806080.

The previous prime is 213202112010287. The next prime is 213202112010331. The reversal of 213202112010313 is 313010211202312.

It can be written as a sum of positive squares in 4 ways, for example, as 6702108078649 + 206500003931664 = 2588843^2 + 14370108^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213202112010313 - 2⁵ = 213202112010281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213202112010113) 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, 102797545738 + ... + 102797547811.

It is an arithmetic number, because the mean of its divisors is an integer number (28680515550225).

Almost surely, 2^{213202112010313} is an apocalyptic number.

It is an amenable number.

213202112010313 is a deficient number, since it is larger than the sum of its proper divisors (16242012391487).

213202112010313 is a wasteful number, since it uses less digits than its factorization.

213202112010313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205595093627.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 213202112010313 its reverse (313010211202312), we get a palindrome (526212323212625).

The spelling of 213202112010313 in words is "two hundred thirteen trillion, two hundred two billion, one hundred twelve million, ten thousand, three hundred thirteen".