101312137 has 2 divisors, whose sum is σ = 101312138. Its totient is φ = 101312136.

The previous prime is 101312117. The next prime is 101312147. The reversal of 101312137 is 731213101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85914361 + 15397776 = 9269^2 + 3924^2 .

It is a cyclic number.

It is not a de Polignac number, because 101312137 - 2¹⁵ = 101279369 is a prime.

It is not a weakly prime, because it can be changed into another prime (101312117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50656068 + 50656069.

It is an arithmetic number, because the mean of its divisors is an integer number (50656069).

Almost surely, 2^101312137 is an apocalyptic number.

It is an amenable number.

101312137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101312137 is an equidigital number, since it uses as much as digits as its factorization.

101312137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 101312137 is about 10065.3930375321. The cubic root of 101312137 is about 466.1802016329.

Adding to 101312137 its reverse (731213101), we get a palindrome (832525238).

The spelling of 101312137 in words is "one hundred one million, three hundred twelve thousand, one hundred thirty-seven".