131028128 has 96 divisors (see below), whose sum is σ = 329712768. Its totient is φ = 49766400.

The previous prime is 131028127. The next prime is 131028173. The reversal of 131028128 is 821820131.

131028128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 131028097 and 131028106.

It is not an unprimeable number, because it can be changed into a prime (131028127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100376 + ... + 101672.

It is an arithmetic number, because the mean of its divisors is an integer number (3434508).

Almost surely, 2^131028128 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 131028128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164856384).

131028128 is an abundant number, since it is smaller than the sum of its proper divisors (198684640).

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

131028128 is a wasteful number, since it uses less digits than its factorization.

131028128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 131028128 is about 11446.7518536919. The cubic root of 131028128 is about 507.9116551271.

Adding to 131028128 its reverse (821820131), we get a palindrome (952848259).

The spelling of 131028128 in words is "one hundred thirty-one million, twenty-eight thousand, one hundred twenty-eight".