131224320 has 144 divisors (see below), whose sum is σ = 465786720. Its totient is φ = 34983936.

The previous prime is 131224307. The next prime is 131224339. The reversal of 131224320 is 23422131.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 131224293 and 131224302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32662 + ... + 36458.

It is an arithmetic number, because the mean of its divisors is an integer number (3234630).

Almost surely, 2^131224320 is an apocalyptic number.

131224320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232893360).

131224320 is an abundant number, since it is smaller than the sum of its proper divisors (334562400).

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

131224320 is an equidigital number, since it uses as much as digits as its factorization.

131224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3807 counting only the distinct ones).

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

The square root of 131224320 is about 11455.3184154785. The cubic root of 131224320 is about 508.1650320444.

Adding to 131224320 its reverse (23422131), we get a palindrome (154646451).

The spelling of 131224320 in words is "one hundred thirty-one million, two hundred twenty-four thousand, three hundred twenty".