13503434400320 has 56 divisors (see below), whose sum is σ = 32173028287800. Its totient is φ = 5398354317312.

The previous prime is 13503434400307. The next prime is 13503434400331. The reversal of 13503434400320 is 2300443430531.

It can be written as a sum of positive squares in 4 ways, for example, as 3546683293696 + 9956751106624 = 1883264^2 + 3155432^2 .

It is a super-2 number, since 2×13503434400320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11221325 + ... + 12366284.

Almost surely, 2^{13503434400320} is an apocalyptic number.

13503434400320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13503434400320 is an abundant number, since it is smaller than the sum of its proper divisors (18669593887480).

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

13503434400320 is a wasteful number, since it uses less digits than its factorization.

13503434400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23589415 (or 23589405 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

Adding to 13503434400320 its reverse (2300443430531), we get a palindrome (15803877830851).

The spelling of 13503434400320 in words is "thirteen trillion, five hundred three billion, four hundred thirty-four million, four hundred thousand, three hundred twenty".