133200413 has 2 divisors, whose sum is σ = 133200414. Its totient is φ = 133200412.

The previous prime is 133200401. The next prime is 133200421. The reversal of 133200413 is 314002331.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85618009 + 47582404 = 9253^2 + 6898^2 .

It is a cyclic number.

It is not a de Polignac number, because 133200413 - 2¹² = 133196317 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 133200391 and 133200400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133200433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66600206 + 66600207.

It is an arithmetic number, because the mean of its divisors is an integer number (66600207).

Almost surely, 2^133200413 is an apocalyptic number.

It is an amenable number.

133200413 is a deficient number, since it is larger than the sum of its proper divisors (1).

133200413 is an equidigital number, since it uses as much as digits as its factorization.

133200413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 133200413 is about 11541.2483293619. The cubic root of 133200413 is about 510.7031349766.

Adding to 133200413 its reverse (314002331), we get a palindrome (447202744).

The spelling of 133200413 in words is "one hundred thirty-three million, two hundred thousand, four hundred thirteen".