2011331340013 has 8 divisors (see below), whose sum is σ = 2054588221728. Its totient is φ = 1968527410224.

The previous prime is 2011331340001. The next prime is 2011331340017. The reversal of 2011331340013 is 3100431331102.

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

It is a de Polignac number, because none of the positive numbers 2^k-2011331340013 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 (2011331340017) 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, 113229006 + ... + 113246767.

It is an arithmetic number, because the mean of its divisors is an integer number (256823527716).

Almost surely, 2^{2011331340013} is an apocalyptic number.

It is an amenable number.

2011331340013 is a deficient number, since it is larger than the sum of its proper divisors (43256881715).

2011331340013 is a wasteful number, since it uses less digits than its factorization.

2011331340013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226475963.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 2011331340013 its reverse (3100431331102), we get a palindrome (5111762671115).

The spelling of 2011331340013 in words is "two trillion, eleven billion, three hundred thirty-one million, three hundred forty thousand, thirteen".