2011133144361 has 16 divisors (see below), whose sum is σ = 2928714022080. Its totient is φ = 1217439635520.

The previous prime is 2011133144353. The next prime is 2011133144369. The reversal of 2011133144361 is 1634413311102.

It is an interprime number because it is at equal distance from previous prime (2011133144353) and next prime (2011133144369).

It is not a de Polignac number, because 2011133144361 - 2³ = 2011133144353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2011133144369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35694846 + ... + 35751143.

It is an arithmetic number, because the mean of its divisors is an integer number (183044626380).

Almost surely, 2^{2011133144361} is an apocalyptic number.

It is an amenable number.

2011133144361 is a deficient number, since it is larger than the sum of its proper divisors (917580877719).

2011133144361 is a wasteful number, since it uses less digits than its factorization.

2011133144361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71446856.

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 2011133144361 its reverse (1634413311102), we get a palindrome (3645546455463).

The spelling of 2011133144361 in words is "two trillion, eleven billion, one hundred thirty-three million, one hundred forty-four thousand, three hundred sixty-one".