2011112021313 has 80 divisors (see below), whose sum is σ = 3040505307840. Its totient is φ = 1324687478400.

The previous prime is 2011112021297. The next prime is 2011112021341. The reversal of 2011112021313 is 3131202111102.

2011112021313 is a `hidden beast` number, since 201 + 11 + 120 + 21 + 313 = 666.

It is not a de Polignac number, because 2011112021313 - 2⁴ = 2011112021297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2011112721313) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3042529203 + ... + 3042529863.

It is an arithmetic number, because the mean of its divisors is an integer number (38006316348).

Almost surely, 2^{2011112021313} is an apocalyptic number.

It is an amenable number.

2011112021313 is a deficient number, since it is larger than the sum of its proper divisors (1029393286527).

2011112021313 is a wasteful number, since it uses less digits than its factorization.

2011112021313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2011112021313 its reverse (3131202111102), we get a palindrome (5142314132415).

The spelling of 2011112021313 in words is "two trillion, eleven billion, one hundred twelve million, twenty-one thousand, three hundred thirteen".