101321312112313 has 2 divisors, whose sum is σ = 101321312112314. Its totient is φ = 101321312112312.

The previous prime is 101321312112311. The next prime is 101321312112337. The reversal of 101321312112313 is 313211213123101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100962143232064 + 359168880249 = 10047992^2 + 599307^2 .

It is an emirp because it is prime and its reverse (313211213123101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101321312112313 - 2¹ = 101321312112311 is a prime.

Together with 101321312112311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101321312112311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50660656056156 + 50660656056157.

It is an arithmetic number, because the mean of its divisors is an integer number (50660656056157).

Almost surely, 2^{101321312112313} is an apocalyptic number.

It is an amenable number.

101321312112313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101321312112313 is an equidigital number, since it uses as much as digits as its factorization.

101321312112313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 101321312112313 its reverse (313211213123101), we get a palindrome (414532525235414).

The spelling of 101321312112313 in words is "one hundred one trillion, three hundred twenty-one billion, three hundred twelve million, one hundred twelve thousand, three hundred thirteen".