2011130020013 has 16 divisors (see below), whose sum is σ = 2043900216000. Its totient is φ = 1978604867712.

The previous prime is 2011130020007. The next prime is 2011130020063. The reversal of 2011130020013 is 3100200311102.

It is a cyclic number.

It is not a de Polignac number, because 2011130020013 - 2²⁰ = 2011128971437 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2011130020013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011130020063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18788198 + ... + 18894936.

It is an arithmetic number, because the mean of its divisors is an integer number (127743763500).

Almost surely, 2^{2011130020013} is an apocalyptic number.

It is an amenable number.

2011130020013 is a deficient number, since it is larger than the sum of its proper divisors (32770195987).

2011130020013 is a wasteful number, since it uses less digits than its factorization.

2011130020013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107884.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 2011130020013 its reverse (3100200311102), we get a palindrome (5111330331115).

The spelling of 2011130020013 in words is "two trillion, eleven billion, one hundred thirty million, twenty thousand, thirteen".