133122 has 16 divisors (see below), whose sum is σ = 290592. Its totient is φ = 40320.

The previous prime is 133121. The next prime is 133153. The reversal of 133122 is 221331.

It is a happy number.

133122 is nontrivially palindromic in base 12 and base 16.

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

It is a junction number, because it is equal to n+sod(n) for n = 133098 and 133107.

It is not an unprimeable number, because it can be changed into a prime (133121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 943 + ... + 1074.

It is an arithmetic number, because the mean of its divisors is an integer number (18162).

2¹³³¹²² is an apocalyptic number.

133122 is an abundant number, since it is smaller than the sum of its proper divisors (157470).

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

133122 is a wasteful number, since it uses less digits than its factorization.

133122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033.

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

The square root of 133122 is about 364.8588768277. The cubic root of 133122 is about 51.0602900989.

Adding to 133122 its reverse (221331), we get a palindrome (354453).

Subtracting 133122 from its reverse (221331), we obtain a square (88209 = 297²).

The spelling of 133122 in words is "one hundred thirty-three thousand, one hundred twenty-two".