313333242333313 has 8 divisors (see below), whose sum is σ = 314637114878856. Its totient is φ = 312029400652800.

The previous prime is 313333242333311. The next prime is 313333242333337.

313333242333313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 177070181059984 + 136263061273329 = 13306772^2 + 11673177^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 313333242333313 - 2¹ = 313333242333311 is a prime.

It is a super-2 number, since 2×313333242333313² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313333242333311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12742053 + ... + 28089613.

It is an arithmetic number, because the mean of its divisors is an integer number (39329639359857).

Almost surely, 2^{313333242333313} is an apocalyptic number.

It is an amenable number.

313333242333313 is a deficient number, since it is larger than the sum of its proper divisors (1303872545543).

313333242333313 is a wasteful number, since it uses less digits than its factorization.

313333242333313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15432515.

The product of its digits is 944784, while the sum is 40.

The spelling of 313333242333313 in words is "three hundred thirteen trillion, three hundred thirty-three billion, two hundred forty-two million, three hundred thirty-three thousand, three hundred thirteen".