2011220133013 has 12 divisors (see below), whose sum is σ = 2519550497100. Its totient is φ = 1591295049792.

The previous prime is 2011220132983. The next prime is 2011220133031. The reversal of 2011220133013 is 3103310221102.

It can be written as a sum of positive squares in 2 ways, for example, as 164659843089 + 1846560289924 = 405783^2 + 1358882^2 .

It is not a de Polignac number, because 2011220133013 - 2¹³ = 2011220124821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011220133613) 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 11 ways as a sum of consecutive naturals, for example, 1578665088 + ... + 1578666361.

It is an arithmetic number, because the mean of its divisors is an integer number (209962541425).

Almost surely, 2^{2011220133013} is an apocalyptic number.

It is an amenable number.

2011220133013 is a deficient number, since it is larger than the sum of its proper divisors (508330364087).

2011220133013 is a wasteful number, since it uses less digits than its factorization.

2011220133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157331476 (or 3157331469 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2011220133013 its reverse (3103310221102), we get a palindrome (5114530354115).

The spelling of 2011220133013 in words is "two trillion, eleven billion, two hundred twenty million, one hundred thirty-three thousand, thirteen".