201303221112313 has 8 divisors (see below), whose sum is σ = 201536959869000. Its totient is φ = 201069494250240.

The previous prime is 201303221112247. The next prime is 201303221112451. The reversal of 201303221112313 is 313211122303102.

It can be written as a sum of positive squares in 4 ways, for example, as 12272949738729 + 189030271373584 = 3503277^2 + 13748828^2 .

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 201303221112313 - 2¹³ = 201303221104121 is a prime.

It is a super-3 number, since 3×201303221112313³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201303221115313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31120563 + ... + 37028311.

It is an arithmetic number, because the mean of its divisors is an integer number (25192119983625).

Almost surely, 2^{201303221112313} is an apocalyptic number.

It is an amenable number.

201303221112313 is a deficient number, since it is larger than the sum of its proper divisors (233738756687).

201303221112313 is an equidigital number, since it uses as much as digits as its factorization.

201303221112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5947307.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 201303221112313 its reverse (313211122303102), we get a palindrome (514514343415415).

The spelling of 201303221112313 in words is "two hundred one trillion, three hundred three billion, two hundred twenty-one million, one hundred twelve thousand, three hundred thirteen".