101312093 has 2 divisors, whose sum is σ = 101312094. Its totient is φ = 101312092.

The previous prime is 101312063. The next prime is 101312111. The reversal of 101312093 is 390213101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94225849 + 7086244 = 9707^2 + 2662^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101312093 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101312023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50656046 + 50656047.

It is an arithmetic number, because the mean of its divisors is an integer number (50656047).

Almost surely, 2^101312093 is an apocalyptic number.

It is an amenable number.

101312093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101312093 is an equidigital number, since it uses as much as digits as its factorization.

101312093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 101312093 is about 10065.3908518249. The cubic root of 101312093 is about 466.1801341454.

Adding to 101312093 its reverse (390213101), we get a palindrome (491525194).

The spelling of 101312093 in words is "one hundred one million, three hundred twelve thousand, ninety-three".