13501513300104 has 224 divisors, whose sum is σ = 40230779856120. Its totient is φ = 4231294599168.

The previous prime is 13501513300091. The next prime is 13501513300151. The reversal of 13501513300104 is 40100331510531.

It is a happy number.

13501513300104 is a `hidden beast` number, since 1 + 3 + 501 + 51 + 3 + 3 + 0 + 0 + 104 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13501435824900 + 77475204 = 3674430^2 + 8802^2 .

It is a super-2 number, since 2×13501513300104² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 94412784 + ... + 94555680.

Almost surely, 2^{13501513300104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13501513300104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20115389928060).

13501513300104 is an abundant number, since it is smaller than the sum of its proper divisors (26729266556016).

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

13501513300104 is a wasteful number, since it uses less digits than its factorization.

13501513300104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143891 (or 143872 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 13501513300104 its reverse (40100331510531), we get a palindrome (53601844810635).

The spelling of 13501513300104 in words is "thirteen trillion, five hundred one billion, five hundred thirteen million, three hundred thousand, one hundred four".