210000200013 has 24 divisors (see below), whose sum is σ = 305140180800. Its totient is φ = 139167642240.

The previous prime is 210000200009. The next prime is 210000200027. The reversal of 210000200013 is 310002000012.

It is a happy number.

210000200013 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 210000200013 - 2² = 210000200009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 210000199968 and 210000200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210000204013) 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 23 ways as a sum of consecutive naturals, for example, 1900245 + ... + 2007717.

It is an arithmetic number, because the mean of its divisors is an integer number (12714174200).

Almost surely, 2^210000200013 is an apocalyptic number.

It is an amenable number.

210000200013 is a deficient number, since it is larger than the sum of its proper divisors (95139980787).

210000200013 is a wasteful number, since it uses less digits than its factorization.

210000200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108769 (or 108766 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 210000200013 its reverse (310002000012), we get a palindrome (520002200025).

The spelling of 210000200013 in words is "two hundred ten billion, two hundred thousand, thirteen".