213123320113 has 48 divisors (see below), whose sum is σ = 252652877568. Its totient is φ = 178982988800.

The previous prime is 213123320101. The next prime is 213123320191. The reversal of 213123320113 is 311023321312.

213123320113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213123320113 - 2³³ = 204533385521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213123320413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34025820 + ... + 34032082.

It is an arithmetic number, because the mean of its divisors is an integer number (5263601616).

Almost surely, 2^213123320113 is an apocalyptic number.

It is an amenable number.

213123320113 is a deficient number, since it is larger than the sum of its proper divisors (39529557455).

213123320113 is a wasteful number, since it uses less digits than its factorization.

213123320113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6606 (or 6595 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 213123320113 its reverse (311023321312), we get a palindrome (524146641425).

The spelling of 213123320113 in words is "two hundred thirteen billion, one hundred twenty-three million, three hundred twenty thousand, one hundred thirteen".