1144120110313 has 16 divisors (see below), whose sum is σ = 1185328026000. Its totient is φ = 1104343177728.

The previous prime is 1144120110293. The next prime is 1144120110317. The reversal of 1144120110313 is 3130110214411.

It can be written as a sum of positive squares in 8 ways, for example, as 127475419369 + 1016644690944 = 357037^2 + 1008288^2 .

It is not a de Polignac number, because 1144120110313 - 2⁵ = 1144120110281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1144120110317) 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, 149573913 + ... + 149581561.

It is an arithmetic number, because the mean of its divisors is an integer number (74083001625).

Almost surely, 2^{1144120110313} is an apocalyptic number.

It is an amenable number.

1144120110313 is a deficient number, since it is larger than the sum of its proper divisors (41207915687).

1144120110313 is an frugal number, since it uses more digits than its factorization.

1144120110313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13869 (or 13811 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 1144120110313 its reverse (3130110214411), we get a palindrome (4274230324724).

The spelling of 1144120110313 in words is "one trillion, one hundred forty-four billion, one hundred twenty million, one hundred ten thousand, three hundred thirteen".