213313110013 has 8 divisors (see below), whose sum is σ = 216651871800. Its totient is φ = 209995281408.

The previous prime is 213313109963. The next prime is 213313110097. The reversal of 213313110013 is 310011313312.

It can be written as a sum of positive squares in 4 ways, for example, as 117311045049 + 96002064964 = 342507^2 + 309842^2 .

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 213313110013 - 2²¹ = 213311012861 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213313119013) 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, 5212756 + ... + 5253517.

It is an arithmetic number, because the mean of its divisors is an integer number (27081483975).

Almost surely, 2^213313110013 is an apocalyptic number.

It is an amenable number.

213313110013 is a deficient number, since it is larger than the sum of its proper divisors (3338761787).

213313110013 is a wasteful number, since it uses less digits than its factorization.

213313110013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10466591.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 213313110013 its reverse (310011313312), we get a palindrome (523324423325).

The spelling of 213313110013 in words is "two hundred thirteen billion, three hundred thirteen million, one hundred ten thousand, thirteen".