131331024 has 160 divisors (see below), whose sum is σ = 425865600. Its totient is φ = 38384640.

The previous prime is 131331023. The next prime is 131331029. The reversal of 131331024 is 420133131.

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 = 131330988 and 131331006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131331023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 137332 + ... + 138284.

It is an arithmetic number, because the mean of its divisors is an integer number (2661660).

Almost surely, 2^131331024 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 131331024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212932800).

131331024 is an abundant number, since it is smaller than the sum of its proper divisors (294534576).

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

131331024 is a wasteful number, since it uses less digits than its factorization.

131331024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131331024 is about 11459.9748690824. The cubic root of 131331024 is about 508.3027314971.

Adding to 131331024 its reverse (420133131), we get a palindrome (551464155).

The spelling of 131331024 in words is "one hundred thirty-one million, three hundred thirty-one thousand, twenty-four".