313113121 has 2 divisors, whose sum is σ = 313113122. Its totient is φ = 313113120.

The previous prime is 313113083. The next prime is 313113149. The reversal of 313113121 is 121311313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167573025 + 145540096 = 12945^2 + 12064^2 .

It is an emirp because it is prime and its reverse (121311313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313113121 - 2¹⁹ = 312588833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313113095 and 313113104.

It is not a weakly prime, because it can be changed into another prime (313113161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156556560 + 156556561.

It is an arithmetic number, because the mean of its divisors is an integer number (156556561).

Almost surely, 2^313113121 is an apocalyptic number.

It is an amenable number.

313113121 is a deficient number, since it is larger than the sum of its proper divisors (1).

313113121 is an equidigital number, since it uses as much as digits as its factorization.

313113121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54, while the sum is 16.

The square root of 313113121 is about 17695.0027126305. The cubic root of 313113121 is about 679.0479186034.

Adding to 313113121 its reverse (121311313), we get a palindrome (434424434).

It can be divided in two parts, 31311312 and 1, that added together give a palindrome (31311313).

The spelling of 313113121 in words is "three hundred thirteen million, one hundred thirteen thousand, one hundred twenty-one".