331333313 has 2 divisors, whose sum is σ = 331333314. Its totient is φ = 331333312.

The previous prime is 331333283. The next prime is 331333337. The reversal of 331333313 is 313333133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 308599489 + 22733824 = 17567^2 + 4768^2 .

It is a cyclic number.

It is not a de Polignac number, because 331333313 - 2¹² = 331329217 is a prime.

It is not a weakly prime, because it can be changed into another prime (331333393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165666656 + 165666657.

It is an arithmetic number, because the mean of its divisors is an integer number (165666657).

Almost surely, 2^331333313 is an apocalyptic number.

It is an amenable number.

331333313 is a deficient number, since it is larger than the sum of its proper divisors (1).

331333313 is an equidigital number, since it uses as much as digits as its factorization.

331333313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2187, while the sum is 23.

The square root of 331333313 is about 18202.5633634387. The cubic root of 331333313 is about 691.9717549199.

Adding to 331333313 its reverse (313333133), we get a palindrome (644666446).

It can be divided in two parts, 3 and 31333313, that multiplied together give a palindrome (93999939).

The spelling of 331333313 in words is "three hundred thirty-one million, three hundred thirty-three thousand, three hundred thirteen".