201023313203200 has 78 divisors (see below), whose sum is σ = 498476960330774. Its totient is φ = 80409325240320.

The previous prime is 201023313203189. The next prime is 201023313203243. The reversal of 201023313203200 is 2302313320102.

It can be written as a sum of positive squares in 3 ways, for example, as 11863560699904 + 189159752503296 = 3444352^2 + 13753536^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 981456747 + ... + 981661546.

Almost surely, 2^{201023313203200} is an apocalyptic number.

201023313203200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201023313203200 is an abundant number, since it is smaller than the sum of its proper divisors (297453647127574).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201023313203200 is an equidigital number, since it uses as much as digits as its factorization.

201023313203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963118327 (or 1963118300 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 201023313203200 its reverse (2302313320102), we get a palindrome (203325626523302).

The spelling of 201023313203200 in words is "two hundred one trillion, twenty-three billion, three hundred thirteen million, two hundred three thousand, two hundred".