2113444511001 has 24 divisors (see below), whose sum is σ = 3254020403400. Its totient is φ = 1317182931456.

The previous prime is 2113444510993. The next prime is 2113444511011. The reversal of 2113444511001 is 1001154443112.

It is a happy number.

2113444511001 is a `hidden beast` number, since 2 + 113 + 4 + 445 + 1 + 100 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30260342025 + 2083184168976 = 173955^2 + 1443324^2 .

It is not a de Polignac number, because 2113444511001 - 2³ = 2113444510993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2113444511011) 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, 46330770 + ... + 46376363.

It is an arithmetic number, because the mean of its divisors is an integer number (135584183475).

Almost surely, 2^{2113444511001} is an apocalyptic number.

It is an amenable number.

2113444511001 is a deficient number, since it is larger than the sum of its proper divisors (1140575892399).

2113444511001 is a wasteful number, since it uses less digits than its factorization.

2113444511001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92707305 (or 92707302 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 2113444511001 its reverse (1001154443112), we get a palindrome (3114598954113).

The spelling of 2113444511001 in words is "two trillion, one hundred thirteen billion, four hundred forty-four million, five hundred eleven thousand, one".