201331100322001 has 24 divisors (see below), whose sum is σ = 223646337653760. Its totient is φ = 181074311323776.

The previous prime is 201331100321999. The next prime is 201331100322007. The reversal of 201331100322001 is 100223001133102.

It is not a de Polignac number, because 201331100322001 - 2¹ = 201331100321999 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 201331100322001.

It is not an unprimeable number, because it can be changed into a prime (201331100322007) 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 23 ways as a sum of consecutive naturals, for example, 55060516 + ... + 58603093.

It is an arithmetic number, because the mean of its divisors is an integer number (9318597402240).

Almost surely, 2^{201331100322001} is an apocalyptic number.

It is an amenable number.

201331100322001 is a deficient number, since it is larger than the sum of its proper divisors (22315237331759).

201331100322001 is a wasteful number, since it uses less digits than its factorization.

201331100322001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113663905 (or 113663892 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 201331100322001 its reverse (100223001133102), we get a palindrome (301554101455103).

The spelling of 201331100322001 in words is "two hundred one trillion, three hundred thirty-one billion, one hundred million, three hundred twenty-two thousand, one".