130033 has 4 divisors (see below), whose sum is σ = 137700. Its totient is φ = 122368.

The previous prime is 130027. The next prime is 130043. The reversal of 130033 is 330031.

It is a happy number.

130033 is nontrivially palindromic in base 16.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 47089 + 82944 = 217^2 + 288^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-130033 is a prime.

130033 is a modest number, since divided by 33 gives 13 as remainder.

130033 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (130003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3808 + ... + 3841.

It is an arithmetic number, because the mean of its divisors is an integer number (34425).

2¹³⁰⁰³³ is an apocalyptic number.

It is an amenable number.

130033 is a deficient number, since it is larger than the sum of its proper divisors (7667).

130033 is an equidigital number, since it uses as much as digits as its factorization.

130033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7666.

The product of its (nonzero) digits is 27, while the sum is 10.

The square root of 130033 is about 360.6008874088. The cubic root of 130033 is about 50.6622562720.

Adding to 130033 its reverse (330031), we get a palindrome (460064).

The spelling of 130033 in words is "one hundred thirty thousand, thirty-three".