2023312332113 has 2 divisors, whose sum is σ = 2023312332114. Its totient is φ = 2023312332112.

The previous prime is 2023312332101. The next prime is 2023312332187. The reversal of 2023312332113 is 3112332133202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1457602265344 + 565710066769 = 1207312^2 + 752137^2 .

It is a cyclic number.

It is not a de Polignac number, because 2023312332113 - 2⁶ = 2023312332049 is a prime.

It is a super-2 number, since 2×2023312332113² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2023312232113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011656166056 + 1011656166057.

It is an arithmetic number, because the mean of its divisors is an integer number (1011656166057).

Almost surely, 2^{2023312332113} is an apocalyptic number.

It is an amenable number.

2023312332113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023312332113 is an equidigital number, since it uses as much as digits as its factorization.

2023312332113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 2023312332113 its reverse (3112332133202), we get a palindrome (5135644465315).

The spelling of 2023312332113 in words is "two trillion, twenty-three billion, three hundred twelve million, three hundred thirty-two thousand, one hundred thirteen".