10142312137 has 2 divisors, whose sum is σ = 10142312138. Its totient is φ = 10142312136.

The previous prime is 10142312123. The next prime is 10142312153. The reversal of 10142312137 is 73121324101.

10142312137 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., 7680068496 + 2462243641 = 87636^2 + 49621^2 .

It is a cyclic number.

It is not a de Polignac number, because 10142312137 - 2¹¹ = 10142310089 is a prime.

It is not a weakly prime, because it can be changed into another prime (10142312177) 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, 5071156068 + 5071156069.

It is an arithmetic number, because the mean of its divisors is an integer number (5071156069).

Almost surely, 2^10142312137 is an apocalyptic number.

It is an amenable number.

10142312137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10142312137 is an equidigital number, since it uses as much as digits as its factorization.

10142312137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 10142312137 its reverse (73121324101), we get a palindrome (83263636238).

The spelling of 10142312137 in words is "ten billion, one hundred forty-two million, three hundred twelve thousand, one hundred thirty-seven".