202001320200013 has 8 divisors (see below), whose sum is σ = 206928482729976. Its totient is φ = 197074172006400.

The previous prime is 202001320199953. The next prime is 202001320200037. The reversal of 202001320200013 is 310002023100202.

It can be written as a sum of positive squares in 4 ways, for example, as 515275601929 + 201486044598084 = 717827^2 + 14194578^2 .

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 202001320200013 - 2²¹ = 202001318102861 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 202001320200013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202001320200613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28373133 + ... + 34771213.

It is an arithmetic number, because the mean of its divisors is an integer number (25866060341247).

Almost surely, 2^{202001320200013} is an apocalyptic number.

It is an amenable number.

202001320200013 is a deficient number, since it is larger than the sum of its proper divisors (4927162529963).

202001320200013 is an equidigital number, since it uses as much as digits as its factorization.

202001320200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7168175.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 202001320200013 its reverse (310002023100202), we get a palindrome (512003343300215).

The spelling of 202001320200013 in words is "two hundred two trillion, one billion, three hundred twenty million, two hundred thousand, thirteen".