10002312137 has 2 divisors, whose sum is σ = 10002312138. Its totient is φ = 10002312136.

The previous prime is 10002312127. The next prime is 10002312143. The reversal of 10002312137 is 73121320001.

10002312137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5366881081 + 4635431056 = 73259^2 + 68084^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002312137 - 2⁴ = 10002312121 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002312127) 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, 5001156068 + 5001156069.

It is an arithmetic number, because the mean of its divisors is an integer number (5001156069).

Almost surely, 2^10002312137 is an apocalyptic number.

It is an amenable number.

10002312137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002312137 is an equidigital number, since it uses as much as digits as its factorization.

10002312137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 20.

Adding to 10002312137 its reverse (73121320001), we get a palindrome (83123632138).

The spelling of 10002312137 in words is "ten billion, two million, three hundred twelve thousand, one hundred thirty-seven".