133023 has 16 divisors (see below), whose sum is σ = 201600. Its totient is φ = 77280.

The previous prime is 133013. The next prime is 133033. The reversal of 133023 is 320331.

133023 = 67² + 68² + ... + 88².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133013) and next prime (133033).

It is not a de Polignac number, because 133023 - 2⁹ = 132511 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 888 + ... + 1026.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2¹³³⁰²³ is an apocalyptic number.

133023 is a deficient number, since it is larger than the sum of its proper divisors (68577).

133023 is a wasteful number, since it uses less digits than its factorization.

133023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 133023 is about 364.7231827016. The cubic root of 133023 is about 51.0476294760.

Adding to 133023 its reverse (320331), we get a palindrome (453354).

The spelling of 133023 in words is "one hundred thirty-three thousand, twenty-three".