200301302133313 has 8 divisors (see below), whose sum is σ = 203887666624136. Its totient is φ = 196737708211200.

The previous prime is 200301302133307. The next prime is 200301302133319. The reversal of 200301302133313 is 313331203103002.

It is an interprime number because it is at equal distance from previous prime (200301302133307) and next prime (200301302133319).

It can be written as a sum of positive squares in 4 ways, for example, as 129413102976144 + 70888199157169 = 11375988^2 + 8419513^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 200301302133313 - 2³³ = 200292712198721 is a prime.

It is a super-3 number, since 3×200301302133313³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200301302133319) 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 7 ways as a sum of consecutive naturals, for example, 5692624428 + ... + 5692659613.

It is an arithmetic number, because the mean of its divisors is an integer number (25485958328017).

Almost surely, 2^{200301302133313} is an apocalyptic number.

It is an amenable number.

200301302133313 is a deficient number, since it is larger than the sum of its proper divisors (3586364490823).

200301302133313 is a wasteful number, since it uses less digits than its factorization.

200301302133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11385284355.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 200301302133313 its reverse (313331203103002), we get a palindrome (513632505236315).

The spelling of 200301302133313 in words is "two hundred trillion, three hundred one billion, three hundred two million, one hundred thirty-three thousand, three hundred thirteen".