2113131220011 has 36 divisors (see below), whose sum is σ = 3555014148504. Its totient is φ = 1206014443200.

The previous prime is 2113131220009. The next prime is 2113131220061. The reversal of 2113131220011 is 1100221313112.

2113131220011 is a `hidden beast` number, since 21 + 131 + 312 + 200 + 1 + 1 = 666.

It is not a de Polignac number, because 2113131220011 - 2¹ = 2113131220009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2113131220001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2596530 + ... + 3311831.

It is an arithmetic number, because the mean of its divisors is an integer number (98750393014).

Almost surely, 2^{2113131220011} is an apocalyptic number.

2113131220011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2113131220011 is a deficient number, since it is larger than the sum of its proper divisors (1441882928493).

2113131220011 is a wasteful number, since it uses less digits than its factorization.

2113131220011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5909192 (or 5909182 counting only the distinct ones).

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

Adding to 2113131220011 its reverse (1100221313112), we get a palindrome (3213352533123).

The spelling of 2113131220011 in words is "two trillion, one hundred thirteen billion, one hundred thirty-one million, two hundred twenty thousand, eleven".