441011100013 has 64 divisors (see below), whose sum is σ = 528817766400. Its totient is φ = 363412224000.

The previous prime is 441011099959. The next prime is 441011100029. The reversal of 441011100013 is 310001110144.

It is a cyclic number.

It is not a de Polignac number, because 441011100013 - 2¹⁷ = 441010968941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 441011100013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441011100083) 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 63 ways as a sum of consecutive naturals, for example, 299802868 + ... + 299804338.

It is an arithmetic number, because the mean of its divisors is an integer number (8262777600).

Almost surely, 2^441011100013 is an apocalyptic number.

It is an amenable number.

441011100013 is a deficient number, since it is larger than the sum of its proper divisors (87806666387).

441011100013 is a wasteful number, since it uses less digits than its factorization.

441011100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 441011100013 its reverse (310001110144), we get a palindrome (751012210157).

The spelling of 441011100013 in words is "four hundred forty-one billion, eleven million, one hundred thousand, thirteen".