323313200010137 has 2 divisors, whose sum is σ = 323313200010138. Its totient is φ = 323313200010136.

The previous prime is 323313200010109. The next prime is 323313200010139. The reversal of 323313200010137 is 731010002313323.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 313406689263616 + 9906510746521 = 17703296^2 + 3147461^2 .

It is a cyclic number.

It is not a de Polignac number, because 323313200010137 - 2³⁴ = 323296020140953 is a prime.

Together with 323313200010139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (323313200010139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 161656600005068 + 161656600005069.

It is an arithmetic number, because the mean of its divisors is an integer number (161656600005069).

Almost surely, 2^{323313200010137} is an apocalyptic number.

It is an amenable number.

323313200010137 is a deficient number, since it is larger than the sum of its proper divisors (1).

323313200010137 is an equidigital number, since it uses as much as digits as its factorization.

323313200010137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6804, while the sum is 29.

The spelling of 323313200010137 in words is "three hundred twenty-three trillion, three hundred thirteen billion, two hundred million, ten thousand, one hundred thirty-seven".