313441000341 has 96 divisors (see below), whose sum is σ = 508036064256. Its totient is φ = 171198720000.

The previous prime is 313441000333. The next prime is 313441000357. The reversal of 313441000341 is 143000144313.

It is not a de Polignac number, because 313441000341 - 2³ = 313441000333 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313441000331) 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 in 95 ways as a sum of consecutive naturals, for example, 355778221 + ... + 355779101.

It is an arithmetic number, because the mean of its divisors is an integer number (5292042336).

Almost surely, 2^313441000341 is an apocalyptic number.

313441000341 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

313441000341 is a deficient number, since it is larger than the sum of its proper divisors (194595063915).

313441000341 is a wasteful number, since it uses less digits than its factorization.

313441000341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 313441000341 its reverse (143000144313), we get a palindrome (456441144654).

The spelling of 313441000341 in words is "three hundred thirteen billion, four hundred forty-one million, three hundred forty-one", and thus it is an aban number.