313034102000413 has 8 divisors (see below), whose sum is σ = 316998021315200. Its totient is φ = 309070219243968.

The previous prime is 313034102000401. The next prime is 313034102000447. The reversal of 313034102000413 is 314000201430313.

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 313034102000413 - 2⁴⁵ = 277849729911581 is a prime.

It is a super-3 number, since 3×313034102000413³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313034102000813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8303470 + ... + 26363152.

It is an arithmetic number, because the mean of its divisors is an integer number (39624752664400).

Almost surely, 2^{313034102000413} is an apocalyptic number.

It is an amenable number.

313034102000413 is a deficient number, since it is larger than the sum of its proper divisors (3963919314787).

313034102000413 is a wasteful number, since it uses less digits than its factorization.

313034102000413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18279171.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 313034102000413 its reverse (314000201430313), we get a palindrome (627034303430726).

The spelling of 313034102000413 in words is "three hundred thirteen trillion, thirty-four billion, one hundred two million, four hundred thirteen", and thus it is an aban number.