101313011321 has 2 divisors, whose sum is σ = 101313011322. Its totient is φ = 101313011320.

The previous prime is 101313011287. The next prime is 101313011323. The reversal of 101313011321 is 123110313101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100612668025 + 700343296 = 317195^2 + 26464^2 .

It is an emirp because it is prime and its reverse (123110313101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101313011321 is a prime.

Together with 101313011323, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101313011321.

It is not a weakly prime, because it can be changed into another prime (101313011323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50656505660 + 50656505661.

It is an arithmetic number, because the mean of its divisors is an integer number (50656505661).

Almost surely, 2^101313011321 is an apocalyptic number.

It is an amenable number.

101313011321 is a deficient number, since it is larger than the sum of its proper divisors (1).

101313011321 is an equidigital number, since it uses as much as digits as its factorization.

101313011321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 101313011321 its reverse (123110313101), we get a palindrome (224423324422).

The spelling of 101313011321 in words is "one hundred one billion, three hundred thirteen million, eleven thousand, three hundred twenty-one".