2013121300211 has 24 divisors (see below), whose sum is σ = 2377622263392. Its totient is φ = 1669658313600.

The previous prime is 2013121300207. The next prime is 2013121300241. The reversal of 2013121300211 is 1120031213102.

It is not a de Polignac number, because 2013121300211 - 2² = 2013121300207 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 2013121300211.

It is not an unprimeable number, because it can be changed into a prime (2013121300241) 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 23 ways as a sum of consecutive naturals, for example, 75066641 + ... + 75093453.

It is an arithmetic number, because the mean of its divisors is an integer number (99067594308).

Almost surely, 2^{2013121300211} is an apocalyptic number.

2013121300211 is a deficient number, since it is larger than the sum of its proper divisors (364500963181).

2013121300211 is a wasteful number, since it uses less digits than its factorization.

2013121300211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38043 (or 38012 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2013121300211 its reverse (1120031213102), we get a palindrome (3133152513313).

The spelling of 2013121300211 in words is "two trillion, thirteen billion, one hundred twenty-one million, three hundred thousand, two hundred eleven".