2023100330113 has 2 divisors, whose sum is σ = 2023100330114. Its totient is φ = 2023100330112.

The previous prime is 2023100330089. The next prime is 2023100330129. The reversal of 2023100330113 is 3110330013202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1537133795344 + 485966534769 = 1239812^2 + 697113^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2023100330113 is a prime.

It is not a weakly prime, because it can be changed into another prime (2023100336113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011550165056 + 1011550165057.

It is an arithmetic number, because the mean of its divisors is an integer number (1011550165057).

Almost surely, 2^{2023100330113} is an apocalyptic number.

It is an amenable number.

2023100330113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023100330113 is an equidigital number, since it uses as much as digits as its factorization.

2023100330113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 2023100330113 its reverse (3110330013202), we get a palindrome (5133430343315).

The spelling of 2023100330113 in words is "two trillion, twenty-three billion, one hundred million, three hundred thirty thousand, one hundred thirteen".