212301200300013 has 64 divisors (see below), whose sum is σ = 344664190402560. Its totient is φ = 128085758827200.

The previous prime is 212301200299987. The next prime is 212301200300029. The reversal of 212301200300013 is 310003002103212.

212301200300013 is a `hidden beast` number, since 2 + 1 + 230 + 120 + 0 + 300 + 0 + 13 = 666.

It is not a de Polignac number, because 212301200300013 - 2¹⁰ = 212301200298989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212301200300093) 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 63 ways as a sum of consecutive naturals, for example, 2961218395 + ... + 2961290087.

It is an arithmetic number, because the mean of its divisors is an integer number (5385377975040).

Almost surely, 2^{212301200300013} is an apocalyptic number.

It is an amenable number.

212301200300013 is a deficient number, since it is larger than the sum of its proper divisors (132362990102547).

212301200300013 is a wasteful number, since it uses less digits than its factorization.

212301200300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116647 (or 116641 counting only the distinct ones).

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

Adding to 212301200300013 its reverse (310003002103212), we get a palindrome (522304202403225).

The spelling of 212301200300013 in words is "two hundred twelve trillion, three hundred one billion, two hundred million, three hundred thousand, thirteen".