213320120013 has 144 divisors (see below), whose sum is σ = 432485254656. Its totient is φ = 99525646080.

The previous prime is 213320119993. The next prime is 213320120033. The reversal of 213320120013 is 310021023312.

213320120013 is a `hidden beast` number, since 213 + 320 + 120 + 0 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (213320119993) and next prime (213320120033).

It is not a de Polignac number, because 213320120013 - 2⁹ = 213320119501 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213320120033) 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 143 ways as a sum of consecutive naturals, for example, 2287620 + ... + 2379042.

It is an arithmetic number, because the mean of its divisors is an integer number (3003369824).

Almost surely, 2^213320120013 is an apocalyptic number.

It is an amenable number.

213320120013 is an abundant number, since it is smaller than the sum of its proper divisors (219165134643).

213320120013 is a wasteful number, since it uses less digits than its factorization.

213320120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91504 (or 91494 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213320120013 its reverse (310021023312), we get a palindrome (523341143325).

It can be divided in two parts, 213320 and 120013, that added together give a palindrome (333333).

The spelling of 213320120013 in words is "two hundred thirteen billion, three hundred twenty million, one hundred twenty thousand, thirteen".