11444004312313 has 16 divisors (see below), whose sum is σ = 11478753594000. Its totient is φ = 11409319756800.

The previous prime is 11444004312311. The next prime is 11444004312329. The reversal of 11444004312313 is 31321340044411.

It can be written as a sum of positive squares in 8 ways, for example, as 1207159269264 + 10236845043049 = 1098708^2 + 3199507^2 .

It is a cyclic number.

It is not a de Polignac number, because 11444004312313 - 2¹ = 11444004312311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11444004312311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1590988245 + ... + 1590995437.

It is an arithmetic number, because the mean of its divisors is an integer number (717422099625).

Almost surely, 2^{11444004312313} is an apocalyptic number.

It is an amenable number.

11444004312313 is a deficient number, since it is larger than the sum of its proper divisors (34749281687).

11444004312313 is a wasteful number, since it uses less digits than its factorization.

11444004312313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11052.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 11444004312313 its reverse (31321340044411), we get a palindrome (42765344356724).

The spelling of 11444004312313 in words is "eleven trillion, four hundred forty-four billion, four million, three hundred twelve thousand, three hundred thirteen".