2001331332013 has 16 divisors (see below), whose sum is σ = 2157870859200. Its totient is φ = 1845162843264.

The previous prime is 2001331331971. The next prime is 2001331332029. The reversal of 2001331332013 is 3102331331002.

It is not a de Polignac number, because 2001331332013 - 2⁹ = 2001331331501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001331332053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62755170 + ... + 62787052.

It is an arithmetic number, because the mean of its divisors is an integer number (134866928700).

Almost surely, 2^{2001331332013} is an apocalyptic number.

It is an amenable number.

2001331332013 is a deficient number, since it is larger than the sum of its proper divisors (156539527187).

2001331332013 is a wasteful number, since it uses less digits than its factorization.

2001331332013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37548.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 2001331332013 its reverse (3102331331002), we get a palindrome (5103662663015).

The spelling of 2001331332013 in words is "two trillion, one billion, three hundred thirty-one million, three hundred thirty-two thousand, thirteen".