2001013233313 has 4 divisors (see below), whose sum is σ = 2001043720260. Its totient is φ = 2000982746368.

The previous prime is 2001013233301. The next prime is 2001013233347. The reversal of 2001013233313 is 3133323101002.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 785621640609 + 1215391592704 = 886353^2 + 1102448^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001013233313 - 2⁵ = 2001013233281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001013233013) 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 3 ways as a sum of consecutive naturals, for example, 15144808 + ... + 15276361.

It is an arithmetic number, because the mean of its divisors is an integer number (500260930065).

Almost surely, 2^{2001013233313} is an apocalyptic number.

It is an amenable number.

2001013233313 is a deficient number, since it is larger than the sum of its proper divisors (30486947).

2001013233313 is an equidigital number, since it uses as much as digits as its factorization.

2001013233313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30486946.

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

Adding to 2001013233313 its reverse (3133323101002), we get a palindrome (5134336334315).

The spelling of 2001013233313 in words is "two trillion, one billion, thirteen million, two hundred thirty-three thousand, three hundred thirteen".