13135104 has 54 divisors (see below), whose sum is σ = 37878386. Its totient is φ = 4377600.

The previous prime is 13135097. The next prime is 13135117. The reversal of 13135104 is 40153131.

It can be written as a sum of positive squares in only one way, i.e., 12616704 + 518400 = 3552^2 + 720^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 547 + ... + 5154.

Almost surely, 2^13135104 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 13135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18939193).

13135104 is an abundant number, since it is smaller than the sum of its proper divisors (24743282).

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

13135104 is an equidigital number, since it uses as much as digits as its factorization.

13135104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5723 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13135104 is about 3624.2384027544. The cubic root of 13135104 is about 235.9452137501.

Adding to 13135104 its reverse (40153131), we get a palindrome (53288235).

The spelling of 13135104 in words is "thirteen million, one hundred thirty-five thousand, one hundred four".