200233133432401 has 2 divisors, whose sum is σ = 200233133432402. Its totient is φ = 200233133432400.

The previous prime is 200233133432257. The next prime is 200233133432411. The reversal of 200233133432401 is 104234331332002.

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., 198274589162001 + 1958544270400 = 14081001^2 + 1399480^2 .

It is a cyclic number.

It is not a de Polignac number, because 200233133432401 - 2⁹ = 200233133431889 is a prime.

It is not a weakly prime, because it can be changed into another prime (200233133432411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100116566716200 + 100116566716201.

It is an arithmetic number, because the mean of its divisors is an integer number (100116566716201).

Almost surely, 2^{200233133432401} is an apocalyptic number.

It is an amenable number.

200233133432401 is a deficient number, since it is larger than the sum of its proper divisors (1).

200233133432401 is an equidigital number, since it uses as much as digits as its factorization.

200233133432401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 200233133432401 its reverse (104234331332002), we get a palindrome (304467464764403).

The spelling of 200233133432401 in words is "two hundred trillion, two hundred thirty-three billion, one hundred thirty-three million, four hundred thirty-two thousand, four hundred one".