210200002121313 has 6 divisors (see below), whose sum is σ = 303622225286354. Its totient is φ = 140133334747536.

The previous prime is 210200002121309. The next prime is 210200002121339. The reversal of 210200002121313 is 313121200002012.

210200002121313 is a `hidden beast` number, since 210 + 20 + 0 + 0 + 0 + 2 + 121 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 173106201662289 + 37093800459024 = 13156983^2 + 6090468^2 .

It is not a de Polignac number, because 210200002121313 - 2² = 210200002121309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210200002120313) 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 5 ways as a sum of consecutive naturals, for example, 11677777895620 + ... + 11677777895637.

Almost surely, 2^{210200002121313} is an apocalyptic number.

It is an amenable number.

210200002121313 is a deficient number, since it is larger than the sum of its proper divisors (93422223165041).

210200002121313 is a wasteful number, since it uses less digits than its factorization.

210200002121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23355555791263 (or 23355555791260 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 210200002121313 its reverse (313121200002012), we get a palindrome (523321202123325).

The spelling of 210200002121313 in words is "two hundred ten trillion, two hundred billion, two million, one hundred twenty-one thousand, three hundred thirteen".