131321320 has 32 divisors (see below), whose sum is σ = 318202920. Its totient is φ = 48487680.

The previous prime is 131321317. The next prime is 131321321. The reversal of 131321320 is 23123131.

131321320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 40424164 + 90897156 = 6358^2 + 9534^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131321294 and 131321303.

It is not an unprimeable number, because it can be changed into a prime (131321321) 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 7 ways as a sum of consecutive naturals, for example, 125751 + ... + 126790.

Almost surely, 2^131321320 is an apocalyptic number.

131321320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131321320 is an abundant number, since it is smaller than the sum of its proper divisors (186881600).

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

131321320 is a wasteful number, since it uses less digits than its factorization.

131321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252565 (or 252561 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 131321320 is about 11459.5514746433. The cubic root of 131321320 is about 508.2902117561.

Adding to 131321320 its reverse (23123131), we get a palindrome (154444451).

The spelling of 131321320 in words is "one hundred thirty-one million, three hundred twenty-one thousand, three hundred twenty".