2001310333013 has 8 divisors (see below), whose sum is σ = 2057777983800. Its totient is φ = 1945535537088.

The previous prime is 2001310333007. The next prime is 2001310333037. The reversal of 2001310333013 is 3103330131002.

It can be written as a sum of positive squares in 4 ways, for example, as 630216875044 + 1371093457969 = 793862^2 + 1170937^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2001310333013 - 2³⁴ = 1984130463829 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 (2001310333213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173207858 + ... + 173219411.

It is an arithmetic number, because the mean of its divisors is an integer number (257222247975).

Almost surely, 2^{2001310333013} is an apocalyptic number.

It is an amenable number.

2001310333013 is a deficient number, since it is larger than the sum of its proper divisors (56467650787).

2001310333013 is a wasteful number, since it uses less digits than its factorization.

2001310333013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346427431.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 2001310333013 its reverse (3103330131002), we get a palindrome (5104640464015).

The spelling of 2001310333013 in words is "two trillion, one billion, three hundred ten million, three hundred thirty-three thousand, thirteen".