10103013312137 has 2 divisors, whose sum is σ = 10103013312138. Its totient is φ = 10103013312136.

The previous prime is 10103013312131. The next prime is 10103013312157. The reversal of 10103013312137 is 73121331030101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10093430664256 + 9582647881 = 3177016^2 + 97891^2 .

It is a cyclic number.

It is not a de Polignac number, because 10103013312137 - 2²² = 10103009117833 is a prime.

It is not a weakly prime, because it can be changed into another prime (10103013312131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051506656068 + 5051506656069.

It is an arithmetic number, because the mean of its divisors is an integer number (5051506656069).

Almost surely, 2^{10103013312137} is an apocalyptic number.

It is an amenable number.

10103013312137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103013312137 is an equidigital number, since it uses as much as digits as its factorization.

10103013312137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 26.

Adding to 10103013312137 its reverse (73121331030101), we get a palindrome (83224344342238).

The spelling of 10103013312137 in words is "ten trillion, one hundred three billion, thirteen million, three hundred twelve thousand, one hundred thirty-seven".