313430040034313 has 8 divisors (see below), whose sum is σ = 331875762091560. Its totient is φ = 294985280296960.

The previous prime is 313430040034297. The next prime is 313430040034409.

313430040034313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 209277973072249 + 104152066962064 = 14466443^2 + 10205492^2 .

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 313430040034313 - 2⁴ = 313430040034297 is a prime.

It is a super-2 number, since 2×313430040034313² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313430040034313.

It is not an unprimeable number, because it can be changed into a prime (313430040039313) 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, 239909348 + ... + 241212261.

It is an arithmetic number, because the mean of its divisors is an integer number (41484470261445).

Almost surely, 2^{313430040034313} is an apocalyptic number.

It is an amenable number.

313430040034313 is a deficient number, since it is larger than the sum of its proper divisors (18445722057247).

313430040034313 is a wasteful number, since it uses less digits than its factorization.

313430040034313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481159947.

The product of its (nonzero) digits is 46656, while the sum is 32.

The spelling of 313430040034313 in words is "three hundred thirteen trillion, four hundred thirty billion, forty million, thirty-four thousand, three hundred thirteen".