212010002010313 has 16 divisors (see below), whose sum is σ = 233135501726736. Its totient is φ = 191611786982400.

The previous prime is 212010002010311. The next prime is 212010002010383. The reversal of 212010002010313 is 313010200010212.

It can be written as a sum of positive squares in 8 ways, for example, as 559200353209 + 211450801657104 = 747797^2 + 14541348^2 .

It is a cyclic number.

It is not a de Polignac number, because 212010002010313 - 2¹ = 212010002010311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212010002010311) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 815211538 + ... + 815471563.

It is an arithmetic number, because the mean of its divisors is an integer number (14570968857921).

Almost surely, 2^{212010002010313} is an apocalyptic number.

It is an amenable number.

212010002010313 is a deficient number, since it is larger than the sum of its proper divisors (21125499716423).

212010002010313 is a wasteful number, since it uses less digits than its factorization.

212010002010313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630683324.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 212010002010313 its reverse (313010200010212), we get a palindrome (525020202020525).

The spelling of 212010002010313 in words is "two hundred twelve trillion, ten billion, two million, ten thousand, three hundred thirteen".