444100120313013 has 24 divisors (see below), whose sum is σ = 643302008712792. Its totient is φ = 295224892182528.

The previous prime is 444100120313011. The next prime is 444100120313023. The reversal of 444100120313013 is 310313021001444.

444100120313013 is a `hidden beast` number, since 4 + 4 + 410 + 0 + 1 + 203 + 1 + 30 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21034542113649 + 423065578199364 = 4586343^2 + 20568558^2 .

It is not a de Polignac number, because 444100120313013 - 2¹ = 444100120313011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444100120313011) 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, 319907995 + ... + 321293207.

It is an arithmetic number, because the mean of its divisors is an integer number (26804250363033).

Almost surely, 2^{444100120313013} is an apocalyptic number.

It is an amenable number.

444100120313013 is a deficient number, since it is larger than the sum of its proper divisors (199201888399779).

444100120313013 is a wasteful number, since it uses less digits than its factorization.

444100120313013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486485 (or 1486482 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 444100120313013 its reverse (310313021001444), we get a palindrome (754413141314457).

The spelling of 444100120313013 in words is "four hundred forty-four trillion, one hundred billion, one hundred twenty million, three hundred thirteen thousand, thirteen".