2011331234241 has 36 divisors (see below), whose sum is σ = 3398255642964. Its totient is φ = 1142982187200.

The previous prime is 2011331234203. The next prime is 2011331234299. The reversal of 2011331234241 is 1424321331102.

2011331234241 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 3 + 312 + 342 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 702604386225 + 1308726848016 = 838215^2 + 1143996^2 .

It is not a de Polignac number, because 2011331234241 - 2⁷ = 2011331234113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2011331234201) 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, 12519190 + ... + 12678831.

Almost surely, 2^{2011331234241} is an apocalyptic number.

2011331234241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2011331234241 is a deficient number, since it is larger than the sum of its proper divisors (1386924408723).

2011331234241 is a wasteful number, since it uses less digits than its factorization.

2011331234241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25198222 (or 25198212 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2011331234241 its reverse (1424321331102), we get a palindrome (3435652565343).

The spelling of 2011331234241 in words is "two trillion, eleven billion, three hundred thirty-one million, two hundred thirty-four thousand, two hundred forty-one".