10112312137 has 2 divisors, whose sum is σ = 10112312138. Its totient is φ = 10112312136.

The previous prime is 10112312131. The next prime is 10112312141. The reversal of 10112312137 is 73121321101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10100451001 + 11861136 = 100501^2 + 3444^2 .

It is an emirp because it is prime and its reverse (73121321101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10112312137 is a prime.

It is a super-2 number, since 2×10112312137² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10112312131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056156068 + 5056156069.

It is an arithmetic number, because the mean of its divisors is an integer number (5056156069).

Almost surely, 2^10112312137 is an apocalyptic number.

It is an amenable number.

10112312137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112312137 is an equidigital number, since it uses as much as digits as its factorization.

10112312137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 22.

Adding to 10112312137 its reverse (73121321101), we get a palindrome (83233633238).

The spelling of 10112312137 in words is "ten billion, one hundred twelve million, three hundred twelve thousand, one hundred thirty-seven".