313442302013340 has 192 divisors, whose sum is σ = 946056764620800. Its totient is φ = 77289449197824.

The previous prime is 313442302013297. The next prime is 313442302013369. The reversal of 313442302013340 is 43310203244313.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11693851 + ... + 27633869.

It is an arithmetic number, because the mean of its divisors is an integer number (4927378982400).

Almost surely, 2^{313442302013340} is an apocalyptic number.

313442302013340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313442302013340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473028382310400).

313442302013340 is an abundant number, since it is smaller than the sum of its proper divisors (632614462607460).

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

313442302013340 is a wasteful number, since it uses less digits than its factorization.

313442302013340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15940464 (or 15940462 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 313442302013340 its reverse (43310203244313), we get a palindrome (356752505257653).

The spelling of 313442302013340 in words is "three hundred thirteen trillion, four hundred forty-two billion, three hundred two million, thirteen thousand, three hundred forty".