2001330311013 has 48 divisors (see below), whose sum is σ = 3221277486336. Its totient is φ = 1186911150720.

The previous prime is 2001330310873. The next prime is 2001330311017. The reversal of 2001330311013 is 3101130331002.

It is a happy number.

2001330311013 is a `hidden beast` number, since 20 + 0 + 1 + 330 + 311 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 2001330311013 - 2⁹ = 2001330310501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001330311017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28688131 + ... + 28757807.

It is an arithmetic number, because the mean of its divisors is an integer number (67109947632).

Almost surely, 2^{2001330311013} is an apocalyptic number.

It is an amenable number.

2001330311013 is a deficient number, since it is larger than the sum of its proper divisors (1219947175323).

2001330311013 is a wasteful number, since it uses less digits than its factorization.

2001330311013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75914 (or 75911 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 2001330311013 its reverse (3101130331002), we get a palindrome (5102460642015).

The spelling of 2001330311013 in words is "two trillion, one billion, three hundred thirty million, three hundred eleven thousand, thirteen".