2001331330313 has 24 divisors (see below), whose sum is σ = 2379318354504. Its totient is φ = 1677982521600.

The previous prime is 2001331330289. The next prime is 2001331330343. The reversal of 2001331330313 is 3130331331002.

It can be written as a sum of positive squares in 4 ways, for example, as 165883514944 + 1835447815369 = 407288^2 + 1354787^2 .

It is not a de Polignac number, because 2001331330313 - 2¹⁰ = 2001331329289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2001331330343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1308620 + ... + 2390637.

It is an arithmetic number, because the mean of its divisors is an integer number (99138264771).

Almost surely, 2^{2001331330313} is an apocalyptic number.

It is an amenable number.

2001331330313 is a deficient number, since it is larger than the sum of its proper divisors (377987024191).

2001331330313 is a wasteful number, since it uses less digits than its factorization.

2001331330313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3699513 (or 3699506 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 2001331330313 its reverse (3130331331002), we get a palindrome (5131662661315).

The spelling of 2001331330313 in words is "two trillion, one billion, three hundred thirty-one million, three hundred thirty thousand, three hundred thirteen".