13503331345345 has 32 divisors (see below), whose sum is σ = 17264369203200. Its totient is φ = 10109797733376.

The previous prime is 13503331345337. The next prime is 13503331345453. The reversal of 13503331345345 is 54354313330531.

13503331345345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13503331345345 - 2³ = 13503331345337 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8455957 + ... + 9925213.

It is an arithmetic number, because the mean of its divisors is an integer number (539511537600).

Almost surely, 2^{13503331345345} is an apocalyptic number.

It is an amenable number.

13503331345345 is a deficient number, since it is larger than the sum of its proper divisors (3761037857855).

13503331345345 is a wasteful number, since it uses less digits than its factorization.

13503331345345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470457.

The product of its (nonzero) digits is 1458000, while the sum is 43.

Adding to 13503331345345 its reverse (54354313330531), we get a palindrome (67857644675876).

The spelling of 13503331345345 in words is "thirteen trillion, five hundred three billion, three hundred thirty-one million, three hundred forty-five thousand, three hundred forty-five".