2013011111011 has 8 divisors (see below), whose sum is σ = 2069182375184. Its totient is φ = 1956932771040.

The previous prime is 2013011110997. The next prime is 2013011111053. The reversal of 2013011111011 is 1101111103102.

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 2013011111011 - 2⁹ = 2013011110499 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013011110982 and 2013011111000.

It is not an unprimeable number, because it can be changed into a prime (2013011111081) 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 7 ways as a sum of consecutive naturals, for example, 23187120 + ... + 23273773.

It is an arithmetic number, because the mean of its divisors is an integer number (258647796898).

Almost surely, 2^{2013011111011} is an apocalyptic number.

2013011111011 is a deficient number, since it is larger than the sum of its proper divisors (56171264173).

2013011111011 is a wasteful number, since it uses less digits than its factorization.

2013011111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46462101.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 2013011111011 its reverse (1101111103102), we get a palindrome (3114122214113).

It can be divided in two parts, 20 and 13011111011, that added together give a palindrome (13011111031).

The spelling of 2013011111011 in words is "two trillion, thirteen billion, eleven million, one hundred eleven thousand, eleven".