13500313503345 has 32 divisors (see below), whose sum is σ = 24015757564800. Its totient is φ = 7195607134272.

The previous prime is 13500313503323. The next prime is 13500313503379. The reversal of 13500313503345 is 54330531300531.

13500313503345 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 0 + 313 + 5 + 0 + 334 + 5 = 666.

It is not a de Polignac number, because 13500313503345 - 2⁷ = 13500313503217 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, 31453182 + ... + 31879511.

It is an arithmetic number, because the mean of its divisors is an integer number (750492423900).

Almost surely, 2^{13500313503345} is an apocalyptic number.

13500313503345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13500313503345 is a deficient number, since it is larger than the sum of its proper divisors (10515444061455).

13500313503345 is a wasteful number, since it uses less digits than its factorization.

13500313503345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63334286 (or 63334280 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 36.

Adding to 13500313503345 its reverse (54330531300531), we get a palindrome (67830844803876).

The spelling of 13500313503345 in words is "thirteen trillion, five hundred billion, three hundred thirteen million, five hundred three thousand, three hundred forty-five".