101000312113 has 2 divisors, whose sum is σ = 101000312114. Its totient is φ = 101000312112.

The previous prime is 101000312111. The next prime is 101000312131. The reversal of 101000312113 is 311213000101.

Together with next prime (101000312131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53479800049 + 47520512064 = 231257^2 + 217992^2 .

It is an emirp because it is prime and its reverse (311213000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101000312113 - 2¹ = 101000312111 is a prime.

Together with 101000312111, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 101000312093 and 101000312102.

It is not a weakly prime, because it can be changed into another prime (101000312111) 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, 50500156056 + 50500156057.

It is an arithmetic number, because the mean of its divisors is an integer number (50500156057).

Almost surely, 2^101000312113 is an apocalyptic number.

It is an amenable number.

101000312113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000312113 is an equidigital number, since it uses as much as digits as its factorization.

101000312113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101000312113 its reverse (311213000101), we get a palindrome (412213312214).

The spelling of 101000312113 in words is "one hundred one billion, three hundred twelve thousand, one hundred thirteen".