133333213 has 16 divisors (see below), whose sum is σ = 151366320. Its totient is φ = 116573184.

The previous prime is 133333199. The next prime is 133333223. The reversal of 133333213 is 312333331.

It can be written as a sum of positive squares in 8 ways, for example, as 17081689 + 116251524 = 4133^2 + 10782^2 .

It is not a de Polignac number, because 133333213 - 2⁵ = 133333181 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133333223) 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, 16645 + ... + 23317.

It is an arithmetic number, because the mean of its divisors is an integer number (9460395).

Almost surely, 2^133333213 is an apocalyptic number.

133333213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133333213 is a deficient number, since it is larger than the sum of its proper divisors (18033107).

133333213 is a wasteful number, since it uses less digits than its factorization.

133333213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6768.

The product of its digits is 1458, while the sum is 22.

The square root of 133333213 is about 11547.0001732052. Note that the first 3 decimals coincide. The cubic root of 133333213 is about 510.8728012414.

Adding to 133333213 its reverse (312333331), we get a palindrome (445666544).

The spelling of 133333213 in words is "one hundred thirty-three million, three hundred thirty-three thousand, two hundred thirteen".