13200135023144 has 32 divisors (see below), whose sum is σ = 24823422729000. Its totient is φ = 6580559063040.

The previous prime is 13200135023143. The next prime is 13200135023149. The reversal of 13200135023144 is 44132053100231.

It can be written as a sum of positive squares in 4 ways, for example, as 7413040836100 + 5787094187044 = 2722690^2 + 2405638^2 .

It is not an unprimeable number, because it can be changed into a prime (13200135023143) 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 7 ways as a sum of consecutive naturals, for example, 31399424 + ... + 31817040.

Almost surely, 2^{13200135023144} is an apocalyptic number.

It is an amenable number.

13200135023144 is a deficient number, since it is larger than the sum of its proper divisors (11623287705856).

13200135023144 is a wasteful number, since it uses less digits than its factorization.

13200135023144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429293 (or 429289 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 13200135023144 its reverse (44132053100231), we get a palindrome (57332188123375).

The spelling of 13200135023144 in words is "thirteen trillion, two hundred billion, one hundred thirty-five million, twenty-three thousand, one hundred forty-four".