2310123312137 has 2 divisors, whose sum is σ = 2310123312138. Its totient is φ = 2310123312136.

The previous prime is 2310123312127. The next prime is 2310123312143. The reversal of 2310123312137 is 7312133210132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1370728149961 + 939395162176 = 1170781^2 + 969224^2 .

It is a cyclic number.

It is not a de Polignac number, because 2310123312137 - 2³⁰ = 2309049570313 is a prime.

It is not a weakly prime, because it can be changed into another prime (2310123312127) 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, 1155061656068 + 1155061656069.

It is an arithmetic number, because the mean of its divisors is an integer number (1155061656069).

Almost surely, 2^{2310123312137} is an apocalyptic number.

It is an amenable number.

2310123312137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2310123312137 is an equidigital number, since it uses as much as digits as its factorization.

2310123312137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 29.

Adding to 2310123312137 its reverse (7312133210132), we get a palindrome (9622256522269).

The spelling of 2310123312137 in words is "two trillion, three hundred ten billion, one hundred twenty-three million, three hundred twelve thousand, one hundred thirty-seven".