313413242322330 has 192 divisors, whose sum is σ = 855594167500800. Its totient is φ = 82535368550976.

The previous prime is 313413242322319. The next prime is 313413242322343. The reversal of 313413242322330 is 33223242314313.

313413242322330 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 1 + 3 + 2 + 423 + 223 + 3 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 483530439 + ... + 484178181.

It is an arithmetic number, because the mean of its divisors is an integer number (4456219622400).

Almost surely, 2^{313413242322330} is an apocalyptic number.

313413242322330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313413242322330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427797083750400).

313413242322330 is an abundant number, since it is smaller than the sum of its proper divisors (542180925178470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313413242322330 is a wasteful number, since it uses less digits than its factorization.

313413242322330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650247 (or 650235 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 313413242322330 its reverse (33223242314313), we get a palindrome (346636484636643).

The spelling of 313413242322330 in words is "three hundred thirteen trillion, four hundred thirteen billion, two hundred forty-two million, three hundred twenty-two thousand, three hundred thirty".