13142304330344 has 96 divisors (see below), whose sum is σ = 28692491473800. Its totient is φ = 5627012751360.

The previous prime is 13142304330301. The next prime is 13142304330367. The reversal of 13142304330344 is 44303340324131.

It can be written as a sum of positive squares in 4 ways, for example, as 11557701714244 + 1584602616100 = 3399662^2 + 1258810^2 .

It is a super-2 number, since 2×13142304330344² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2972697254 + ... + 2972701674.

Almost surely, 2^{13142304330344} is an apocalyptic number.

13142304330344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13142304330344 is an abundant number, since it is smaller than the sum of its proper divisors (15550187143456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13142304330344 is a wasteful number, since it uses less digits than its factorization.

13142304330344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10003 (or 9992 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 35.

Adding to 13142304330344 its reverse (44303340324131), we get a palindrome (57445644654475).

The spelling of 13142304330344 in words is "thirteen trillion, one hundred forty-two billion, three hundred four million, three hundred thirty thousand, three hundred forty-four".