213200300013 has 16 divisors (see below), whose sum is σ = 289185431040. Its totient is φ = 139676022704.

The previous prime is 213200299993. The next prime is 213200300041. The reversal of 213200300013 is 310003002312.

It is a cyclic number.

It is not a de Polignac number, because 213200300013 - 2⁵ = 213200299981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213200299965 and 213200300001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213200304013) 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, 306370 + ... + 721292.

It is an arithmetic number, because the mean of its divisors is an integer number (18074089440).

Almost surely, 2^213200300013 is an apocalyptic number.

It is an amenable number.

213200300013 is a deficient number, since it is larger than the sum of its proper divisors (75985131027).

213200300013 is a wasteful number, since it uses less digits than its factorization.

213200300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417888.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 213200300013 its reverse (310003002312), we get a palindrome (523203302325).

The spelling of 213200300013 in words is "two hundred thirteen billion, two hundred million, three hundred thousand, thirteen".