444102043123313 has 8 divisors (see below), whose sum is σ = 470228373687240. Its totient is φ = 417976010444800.

The previous prime is 444102043123267. The next prime is 444102043123339. The reversal of 444102043123313 is 313321340201444.

It can be written as a sum of positive squares in 4 ways, for example, as 76550722952929 + 367551320170384 = 8749327^2 + 19171628^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 444102043123313 - 2²⁰ = 444102042074737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444102943123313) 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 7 ways as a sum of consecutive naturals, for example, 71398328 + ... + 77368761.

It is an arithmetic number, because the mean of its divisors is an integer number (58778546710905).

Almost surely, 2^{444102043123313} is an apocalyptic number.

It is an amenable number.

444102043123313 is a deficient number, since it is larger than the sum of its proper divisors (26126330563927).

444102043123313 is a wasteful number, since it uses less digits than its factorization.

444102043123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148942707.

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 444102043123313 its reverse (313321340201444), we get a palindrome (757423383324757).

The spelling of 444102043123313 in words is "four hundred forty-four trillion, one hundred two billion, forty-three million, one hundred twenty-three thousand, three hundred thirteen".