1344133505353 has 12 divisors (see below), whose sum is σ = 1377910151100. Its totient is φ = 1311165777920.

The previous prime is 1344133505269. The next prime is 1344133505369. The reversal of 1344133505353 is 3535053314431.

It can be written as a sum of positive squares in 6 ways, for example, as 1177839190089 + 166294315264 = 1085283^2 + 407792^2 .

It is not a de Polignac number, because 1344133505353 - 2²¹ = 1344131408201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1344133505153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12805701 + ... + 12910237.

It is an arithmetic number, because the mean of its divisors is an integer number (114825845925).

Almost surely, 2^{1344133505353} is an apocalyptic number.

It is an amenable number.

1344133505353 is a deficient number, since it is larger than the sum of its proper divisors (33776645747).

1344133505353 is an equidigital number, since it uses as much as digits as its factorization.

1344133505353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112268 (or 112227 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 40.

Adding to 1344133505353 its reverse (3535053314431), we get a palindrome (4879186819784).

The spelling of 1344133505353 in words is "one trillion, three hundred forty-four billion, one hundred thirty-three million, five hundred five thousand, three hundred fifty-three".