201320010013 has 8 divisors (see below), whose sum is σ = 204677134200. Its totient is φ = 197964718080.

The previous prime is 201320010011. The next prime is 201320010041. The reversal of 201320010013 is 310010023102.

It can be written as a sum of positive squares in 4 ways, for example, as 4287892324 + 197032117689 = 65482^2 + 443883^2 .

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 201320010013 - 2¹ = 201320010011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201320009975 and 201320010002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201320010011) 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, 235588 + ... + 676861.

It is an arithmetic number, because the mean of its divisors is an integer number (25584641775).

Almost surely, 2^201320010013 is an apocalyptic number.

It is an amenable number.

201320010013 is a deficient number, since it is larger than the sum of its proper divisors (3357124187).

201320010013 is an equidigital number, since it uses as much as digits as its factorization.

201320010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916127.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 201320010013 its reverse (310010023102), we get a palindrome (511330033115).

The spelling of 201320010013 in words is "two hundred one billion, three hundred twenty million, ten thousand, thirteen".