2013112003311 has 24 divisors (see below), whose sum is σ = 3052504465920. Its totient is φ = 1276768674000.

The previous prime is 2013112003237. The next prime is 2013112003339. The reversal of 2013112003311 is 1133002113102.

2013112003311 is a `hidden beast` number, since 2 + 0 + 1 + 311 + 20 + 0 + 331 + 1 = 666.

It is not a de Polignac number, because 2013112003311 - 2⁹ = 2013112002799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013112003361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61131465 + ... + 61164386.

It is an arithmetic number, because the mean of its divisors is an integer number (127187686080).

Almost surely, 2^{2013112003311} is an apocalyptic number.

2013112003311 is a deficient number, since it is larger than the sum of its proper divisors (1039392462609).

2013112003311 is a wasteful number, since it uses less digits than its factorization.

2013112003311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122295947 (or 122295944 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2013112003311 its reverse (1133002113102), we get a palindrome (3146114116413).

The spelling of 2013112003311 in words is "two trillion, thirteen billion, one hundred twelve million, three thousand, three hundred eleven".