13135128 has 32 divisors (see below), whose sum is σ = 32996160. Its totient is φ = 4357280.

The previous prime is 13135127. The next prime is 13135141. The reversal of 13135128 is 82153131.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 13135098 and 13135107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13135127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4243 + ... + 6653.

It is an arithmetic number, because the mean of its divisors is an integer number (1031130).

Almost surely, 2^13135128 is an apocalyptic number.

It is an amenable number.

13135128 is an abundant number, since it is smaller than the sum of its proper divisors (19861032).

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

13135128 is a wasteful number, since it uses less digits than its factorization.

13135128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647 (or 2643 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 13135128 is about 3624.2417137934. The cubic root of 13135128 is about 235.9453574536.

Adding to 13135128 its reverse (82153131), we get a palindrome (95288259).

It can be divided in two parts, 1313 and 5128, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 13135128 in words is "thirteen million, one hundred thirty-five thousand, one hundred twenty-eight".