133111213 has 2 divisors, whose sum is σ = 133111214. Its totient is φ = 133111212.

The previous prime is 133111177. The next prime is 133111219. The reversal of 133111213 is 312111331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133010089 + 101124 = 11533^2 + 318^2 .

It is a cyclic number.

It is not a de Polignac number, because 133111213 - 2¹³ = 133103021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133111219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66555606 + 66555607.

It is an arithmetic number, because the mean of its divisors is an integer number (66555607).

Almost surely, 2^133111213 is an apocalyptic number.

It is an amenable number.

133111213 is a deficient number, since it is larger than the sum of its proper divisors (1).

133111213 is an equidigital number, since it uses as much as digits as its factorization.

133111213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54, while the sum is 16.

The square root of 133111213 is about 11537.3832821832. The cubic root of 133111213 is about 510.5891090732.

Adding to 133111213 its reverse (312111331), we get a palindrome (445222544).

It can be divided in two parts, 1331 and 11213, that added together give a square (12544 = 112²).

The spelling of 133111213 in words is "one hundred thirty-three million, one hundred eleven thousand, two hundred thirteen".