133263 has 24 divisors (see below), whose sum is σ = 222768. Its totient is φ = 76032.

The previous prime is 133261. The next prime is 133271. The reversal of 133263 is 362331.

It is a happy number.

It is not a de Polignac number, because 133263 - 2¹ = 133261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133261) 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 23 ways as a sum of consecutive naturals, for example, 1956 + ... + 2022.

It is an arithmetic number, because the mean of its divisors is an integer number (9282).

2¹³³²⁶³ is an apocalyptic number.

133263 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

133263 is a deficient number, since it is larger than the sum of its proper divisors (89505).

133263 is a wasteful number, since it uses less digits than its factorization.

133263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 100 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 133263 is about 365.0520510831. The cubic root of 133263 is about 51.0783110635.

Adding to 133263 its reverse (362331), we get a palindrome (495594).

The spelling of 133263 in words is "one hundred thirty-three thousand, two hundred sixty-three".