131433216 has 72 divisors (see below), whose sum is σ = 356514480. Its totient is φ = 42971136.

The previous prime is 131433209. The next prime is 131433221. The reversal of 131433216 is 612334131.

It is a happy number.

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 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 7 ways as a sum of consecutive naturals, for example, 39090 + ... + 42318.

It is an arithmetic number, because the mean of its divisors is an integer number (4951590).

Almost surely, 2^131433216 is an apocalyptic number.

131433216 is a gapful number since it is divisible by the number (16) 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 131433216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178257240).

131433216 is an abundant number, since it is smaller than the sum of its proper divisors (225081264).

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

131433216 is an equidigital number, since it uses as much as digits as its factorization.

131433216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3287 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 131433216 is about 11464.4326505937. The cubic root of 131433216 is about 508.4345383971.

Adding to 131433216 its reverse (612334131), we get a palindrome (743767347).

The spelling of 131433216 in words is "one hundred thirty-one million, four hundred thirty-three thousand, two hundred sixteen".