131333424 has 80 divisors (see below), whose sum is σ = 353569632. Its totient is φ = 41969664.

The previous prime is 131333413. The next prime is 131333437. The reversal of 131333424 is 424333131.

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 = 131333394 and 131333403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129142 + ... + 130154.

Almost surely, 2^131333424 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 131333424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176784816).

131333424 is an abundant number, since it is smaller than the sum of its proper divisors (222236208).

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

131333424 is a wasteful number, since it uses less digits than its factorization.

131333424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1128 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 131333424 is about 11460.0795808755. The cubic root of 131333424 is about 508.3058277930.

Adding to 131333424 its reverse (424333131), we get a palindrome (555666555).

The spelling of 131333424 in words is "one hundred thirty-one million, three hundred thirty-three thousand, four hundred twenty-four".