2100441011313 has 64 divisors (see below), whose sum is σ = 2983468308480. Its totient is φ = 1311590151168.

The previous prime is 2100441011299. The next prime is 2100441011321. The reversal of 2100441011313 is 3131101440012.

It is not a de Polignac number, because 2100441011313 - 2²⁹ = 2099904140401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2100441011313.

It is not an unprimeable number, because it can be changed into a prime (2100441011363) 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 63 ways as a sum of consecutive naturals, for example, 1769536906 + ... + 1769538092.

It is an arithmetic number, because the mean of its divisors is an integer number (46616692320).

Almost surely, 2^{2100441011313} is an apocalyptic number.

2100441011313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2100441011313 is a deficient number, since it is larger than the sum of its proper divisors (883027297167).

2100441011313 is a wasteful number, since it uses less digits than its factorization.

2100441011313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 2100441011313 its reverse (3131101440012), we get a palindrome (5231542451325).

The spelling of 2100441011313 in words is "two trillion, one hundred billion, four hundred forty-one million, eleven thousand, three hundred thirteen".