131033032 has 64 divisors (see below), whose sum is σ = 276595200. Its totient is φ = 57784320.

The previous prime is 131033027. The next prime is 131033033. The reversal of 131033032 is 230330131.

It is a super-2 number, since 2×131033032² = 34339310950226048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131032997 and 131033015.

It is not an unprimeable number, because it can be changed into a prime (131033033) 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 15 ways as a sum of consecutive naturals, for example, 312519 + ... + 312937.

It is an arithmetic number, because the mean of its divisors is an integer number (4321800).

Almost surely, 2^131033032 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 131033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138297600).

131033032 is an abundant number, since it is smaller than the sum of its proper divisors (145562168).

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

131033032 is a wasteful number, since it uses less digits than its factorization.

131033032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 131033032 is about 11446.9660609264. The cubic root of 131033032 is about 507.9179915978.

Adding to 131033032 its reverse (230330131), we get a palindrome (361363163).

The spelling of 131033032 in words is "one hundred thirty-one million, thirty-three thousand, thirty-two".