2011011002013 has 16 divisors (see below), whose sum is σ = 2909648339136. Its totient is φ = 1228098318720.

The previous prime is 2011011002009. The next prime is 2011011002041. The reversal of 2011011002013 is 3102001101102.

It is not a de Polignac number, because 2011011002013 - 2² = 2011011002009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2011011002013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011011002053) 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, 196805520 + ... + 196815737.

It is an arithmetic number, because the mean of its divisors is an integer number (181853021196).

Almost surely, 2^{2011011002013} is an apocalyptic number.

It is an amenable number.

2011011002013 is a deficient number, since it is larger than the sum of its proper divisors (898637337123).

2011011002013 is a wasteful number, since it uses less digits than its factorization.

2011011002013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393621404.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 2011011002013 its reverse (3102001101102), we get a palindrome (5113012103115).

The spelling of 2011011002013 in words is "two trillion, eleven billion, eleven million, two thousand, thirteen".