2100244241313 has 24 divisors (see below), whose sum is σ = 3036614017320. Its totient is φ = 1398811852800.

The previous prime is 2100244241287. The next prime is 2100244241321. The reversal of 2100244241313 is 3131424420012.

2100244241313 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 244 + 2 + 413 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1586912114529 + 513332126784 = 1259727^2 + 716472^2 .

It is not a de Polignac number, because 2100244241313 - 2⁴⁰ = 1000732613537 is a prime.

It is a super-2 number, since 2×2100244241313² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2100244241323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113930145 + ... + 113948577.

It is an arithmetic number, because the mean of its divisors is an integer number (126525584055).

Almost surely, 2^{2100244241313} is an apocalyptic number.

It is an amenable number.

2100244241313 is a deficient number, since it is larger than the sum of its proper divisors (936369776007).

2100244241313 is a wasteful number, since it uses less digits than its factorization.

2100244241313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29969 (or 29966 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2100244241313 its reverse (3131424420012), we get a palindrome (5231668661325).

The spelling of 2100244241313 in words is "two trillion, one hundred billion, two hundred forty-four million, two hundred forty-one thousand, three hundred thirteen".