313121120122123 has 2 divisors, whose sum is σ = 313121120122124. Its totient is φ = 313121120122122.

The previous prime is 313121120122121. The next prime is 313121120122171. The reversal of 313121120122123 is 321221021121313.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 313121120122123 - 2¹ = 313121120122121 is a prime.

It is a super-3 number, since 3×313121120122123³ (a number of 44 digits) contains 333 as substring.

Together with 313121120122121, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (313121120122121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156560560061061 + 156560560061062.

It is an arithmetic number, because the mean of its divisors is an integer number (156560560061062).

Almost surely, 2^{313121120122123} is an apocalyptic number.

313121120122123 is a deficient number, since it is larger than the sum of its proper divisors (1).

313121120122123 is an equidigital number, since it uses as much as digits as its factorization.

313121120122123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 313121120122123 its reverse (321221021121313), we get a palindrome (634342141243436).

The spelling of 313121120122123 in words is "three hundred thirteen trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twenty-three".