133033232000213 has 2 divisors, whose sum is σ = 133033232000214. Its totient is φ = 133033232000212.

The previous prime is 133033232000209. The next prime is 133033232000257. The reversal of 133033232000213 is 312000232330331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107413366577764 + 25619865422449 = 10364042^2 + 5061607^2 .

It is a cyclic number.

It is not a de Polignac number, because 133033232000213 - 2² = 133033232000209 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133033232000113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66516616000106 + 66516616000107.

It is an arithmetic number, because the mean of its divisors is an integer number (66516616000107).

Almost surely, 2^{133033232000213} is an apocalyptic number.

It is an amenable number.

133033232000213 is a deficient number, since it is larger than the sum of its proper divisors (1).

133033232000213 is an equidigital number, since it uses as much as digits as its factorization.

133033232000213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 133033232000213 its reverse (312000232330331), we get a palindrome (445033464330544).

The spelling of 133033232000213 in words is "one hundred thirty-three trillion, thirty-three billion, two hundred thirty-two million, two hundred thirteen", and thus it is an aban number.