313313313 has 8 divisors (see below), whose sum is σ = 419087008. Its totient is φ = 208207584.

The previous prime is 313313309. The next prime is 313313317.

313313313 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (313313309) and next prime (313313317).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 313313313 - 2² = 313313309 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

313313313 is a modest number, since divided by 313313 gives 313 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 313313313.

It is not an unprimeable number, because it can be changed into a prime (313313317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165895 + ... + 167772.

It is an arithmetic number, because the mean of its divisors is an integer number (52385876).

Almost surely, 2^313313313 is an apocalyptic number.

It is an amenable number.

313313313 is a deficient number, since it is larger than the sum of its proper divisors (105773695).

313313313 is a wasteful number, since it uses less digits than its factorization.

313313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333983.

The product of its digits is 729, while the sum is 21.

The square root of 313313313 is about 17700.6585470711. The cubic root of 313313313 is about 679.1926064607.

The spelling of 313313313 in words is "three hundred thirteen million, three hundred thirteen thousand, three hundred thirteen".