131100828 has 48 divisors (see below), whose sum is σ = 322430976. Its totient is φ = 41377600.

The previous prime is 131100811. The next prime is 131100833. The reversal of 131100828 is 828001131.

It is a junction number, because it is equal to n+sod(n) for n = 131100798 and 131100807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25525 + ... + 30227.

It is an arithmetic number, because the mean of its divisors is an integer number (6717312).

Almost surely, 2^131100828 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 131100828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161215488).

131100828 is an abundant number, since it is smaller than the sum of its proper divisors (191330148).

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

131100828 is a wasteful number, since it uses less digits than its factorization.

131100828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4834 (or 4832 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 131100828 is about 11449.9269866668. The cubic root of 131100828 is about 508.0055747833.

Adding to 131100828 its reverse (828001131), we get a palindrome (959101959).

The spelling of 131100828 in words is "one hundred thirty-one million, one hundred thousand, eight hundred twenty-eight".