2301312332113 has 2 divisors, whose sum is σ = 2301312332114. Its totient is φ = 2301312332112.

The previous prime is 2301312332107. The next prime is 2301312332153. The reversal of 2301312332113 is 3112332131032.

2301312332113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1895074364689 + 406237967424 = 1376617^2 + 637368^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2301312332113 is a prime.

It is a super-2 number, since 2×2301312332113² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2301312332153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1150656166056 + 1150656166057.

It is an arithmetic number, because the mean of its divisors is an integer number (1150656166057).

Almost surely, 2^{2301312332113} is an apocalyptic number.

It is an amenable number.

2301312332113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2301312332113 is an equidigital number, since it uses as much as digits as its factorization.

2301312332113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 2301312332113 its reverse (3112332131032), we get a palindrome (5413644463145).

The spelling of 2301312332113 in words is "two trillion, three hundred one billion, three hundred twelve million, three hundred thirty-two thousand, one hundred thirteen".