131123328 has 64 divisors (see below), whose sum is σ = 398061120. Its totient is φ = 37463040.

The previous prime is 131123327. The next prime is 131123341. The reversal of 131123328 is 823321131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×131123328³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131123298 and 131123307.

It is not an unprimeable number, because it can be changed into a prime (131123323) 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, 21703 + ... + 27078.

It is an arithmetic number, because the mean of its divisors is an integer number (6219705).

Almost surely, 2^131123328 is an apocalyptic number.

It is an amenable number.

131123328 is an abundant number, since it is smaller than the sum of its proper divisors (266937792).

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

131123328 is an equidigital number, since it uses as much as digits as its factorization.

131123328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48805 (or 48793 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 131123328 is about 11450.9094835301. The cubic root of 131123328 is about 508.0346350412.

Adding to 131123328 its reverse (823321131), we get a palindrome (954444459).

The spelling of 131123328 in words is "one hundred thirty-one million, one hundred twenty-three thousand, three hundred twenty-eight".