2011330003013 has 8 divisors (see below), whose sum is σ = 2153572113240. Its totient is φ = 1871746624000.

The previous prime is 2011330002953. The next prime is 2011330003091. The reversal of 2011330003013 is 3103000331102.

It can be written as a sum of positive squares in 4 ways, for example, as 657050689 + 2010672952324 = 25633^2 + 1417982^2 .

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 2011330003013 - 2²⁶ = 2011262894149 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011330002982 and 2011330003000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011330023013) 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, 664681238 + ... + 664684263.

It is an arithmetic number, because the mean of its divisors is an integer number (269196514155).

Almost surely, 2^{2011330003013} is an apocalyptic number.

It is an amenable number.

2011330003013 is a deficient number, since it is larger than the sum of its proper divisors (142242110227).

2011330003013 is a wasteful number, since it uses less digits than its factorization.

2011330003013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329365607.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 2011330003013 its reverse (3103000331102), we get a palindrome (5114330334115).

The spelling of 2011330003013 in words is "two trillion, eleven billion, three hundred thirty million, three thousand, thirteen".