2001332312001 has 80 divisors (see below), whose sum is σ = 3512925123840. Its totient is φ = 1122366883680.

The previous prime is 2001332311997. The next prime is 2001332312029. The reversal of 2001332312001 is 1002132331002.

2001332312001 is a `hidden beast` number, since 20 + 0 + 1 + 332 + 312 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 2001332312001 - 2² = 2001332311997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2001332312051) 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 79 ways as a sum of consecutive naturals, for example, 646695 + ... + 2102588.

It is an arithmetic number, because the mean of its divisors is an integer number (43911564048).

Almost surely, 2^{2001332312001} is an apocalyptic number.

It is an amenable number.

2001332312001 is a deficient number, since it is larger than the sum of its proper divisors (1511592811839).

2001332312001 is a wasteful number, since it uses less digits than its factorization.

2001332312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749368 (or 2749359 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2001332312001 its reverse (1002132331002), we get a palindrome (3003464643003).

The spelling of 2001332312001 in words is "two trillion, one billion, three hundred thirty-two million, three hundred twelve thousand, one".