131322 has 16 divisors (see below), whose sum is σ = 269280. Its totient is φ = 42672.

The previous prime is 131321. The next prime is 131357. The reversal of 131322 is 223131.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 1 + 3 + 3⁵ + 1 + 2 + 2¹⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 131298 and 131307.

It is not an unprimeable number, because it can be changed into a prime (131321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (16830).

2¹³¹³²² is an apocalyptic number.

131322 is an abundant number, since it is smaller than the sum of its proper divisors (137958).

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

131322 is a wasteful number, since it uses less digits than its factorization.

131322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557.

The product of its digits is 36, while the sum is 12.

The square root of 131322 is about 362.3837744712. The cubic root of 131322 is about 50.8291089087.

Adding to 131322 its reverse (223131), we get a palindrome (354453).

Subtracting 131322 from its reverse (223131), we obtain a square (91809 = 303²).

The spelling of 131322 in words is "one hundred thirty-one thousand, three hundred twenty-two".