131003424 has 72 divisors (see below), whose sum is σ = 374594220. Its totient is φ = 43427328.

The previous prime is 131003419. The next prime is 131003441. The reversal of 131003424 is 424300131.

It can be written as a sum of positive squares in 2 ways, for example, as 100400400 + 30603024 = 10020^2 + 5532^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131003397 and 131003406.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55582 + ... + 57890.

Almost surely, 2^131003424 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 131003424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187297110).

131003424 is an abundant number, since it is smaller than the sum of its proper divisors (243590796).

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

131003424 is a wasteful number, since it uses less digits than its factorization.

131003424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 131003424 is about 11445.6727194167. The cubic root of 131003424 is about 507.8797326222.

Adding to 131003424 its reverse (424300131), we get a palindrome (555303555).

The spelling of 131003424 in words is "one hundred thirty-one million, three thousand, four hundred twenty-four".