13500451325313 has 24 divisors (see below), whose sum is σ = 19594846463400. Its totient is φ = 8956892012544.

The previous prime is 13500451325209. The next prime is 13500451325341. The reversal of 13500451325313 is 31352315400531.

13500451325313 is a `hidden beast` number, since 1 + 3 + 50 + 0 + 45 + 1 + 32 + 531 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3780815802624 + 9719635522689 = 1944432^2 + 3117633^2 .

It is not a de Polignac number, because 13500451325313 - 2⁸ = 13500451325057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13500451327313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257418 + ... + 5202611.

It is an arithmetic number, because the mean of its divisors is an integer number (816451935975).

Almost surely, 2^{13500451325313} is an apocalyptic number.

It is an amenable number.

13500451325313 is a deficient number, since it is larger than the sum of its proper divisors (6094395138087).

13500451325313 is a wasteful number, since it uses less digits than its factorization.

13500451325313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5461361 (or 5461358 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 13500451325313 its reverse (31352315400531), we get a palindrome (44852766725844).

The spelling of 13500451325313 in words is "thirteen trillion, five hundred billion, four hundred fifty-one million, three hundred twenty-five thousand, three hundred thirteen".