300223331133041 has 2 divisors, whose sum is σ = 300223331133042. Its totient is φ = 300223331133040.

The previous prime is 300223331133001. The next prime is 300223331133043. The reversal of 300223331133041 is 140331133322003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 275510899387441 + 24712431745600 = 16598521^2 + 4971160^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-300223331133041 is a prime.

Together with 300223331133043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 300223331132995 and 300223331133013.

It is not a weakly prime, because it can be changed into another prime (300223331133043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150111665566520 + 150111665566521.

It is an arithmetic number, because the mean of its divisors is an integer number (150111665566521).

Almost surely, 2^{300223331133041} is an apocalyptic number.

It is an amenable number.

300223331133041 is a deficient number, since it is larger than the sum of its proper divisors (1).

300223331133041 is an equidigital number, since it uses as much as digits as its factorization.

300223331133041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 300223331133041 its reverse (140331133322003), we get a palindrome (440554464455044).

The spelling of 300223331133041 in words is "three hundred trillion, two hundred twenty-three billion, three hundred thirty-one million, one hundred thirty-three thousand, forty-one".