313332121 has 2 divisors, whose sum is σ = 313332122. Its totient is φ = 313332120.

The previous prime is 313332119. The next prime is 313332137. The reversal of 313332121 is 121233313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 309584025 + 3748096 = 17595^2 + 1936^2 .

It is a cyclic number.

It is not a de Polignac number, because 313332121 - 2¹ = 313332119 is a prime.

Together with 313332119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (313332181) 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, 156666060 + 156666061.

It is an arithmetic number, because the mean of its divisors is an integer number (156666061).

Almost surely, 2^313332121 is an apocalyptic number.

It is an amenable number.

313332121 is a deficient number, since it is larger than the sum of its proper divisors (1).

313332121 is an equidigital number, since it uses as much as digits as its factorization.

313332121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 19.

The square root of 313332121 is about 17701.1898187664. The cubic root of 313332121 is about 679.2061966896.

Adding to 313332121 its reverse (121233313), we get a palindrome (434565434).

The spelling of 313332121 in words is "three hundred thirteen million, three hundred thirty-two thousand, one hundred twenty-one".