313442203320000 has 840 divisors, whose sum is σ = 1146688306283520. Its totient is φ = 81813553920000.

The previous prime is 313442203319969. The next prime is 313442203320041. The reversal of 313442203320000 is 23302244313.

313442203320000 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 422 + 0 + 33 + 200 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3552795889 + ... + 3552884111.

It is an arithmetic number, because the mean of its divisors is an integer number (1365105126528).

Almost surely, 2^{313442203320000} is an apocalyptic number.

313442203320000 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 313442203320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573344153141760).

313442203320000 is an abundant number, since it is smaller than the sum of its proper divisors (833246102963520).

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

313442203320000 is a wasteful number, since it uses less digits than its factorization.

313442203320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88471 (or 88443 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 313442203320000 its reverse (23302244313), we get a palindrome (313465505564313).

The spelling of 313442203320000 in words is "three hundred thirteen trillion, four hundred forty-two billion, two hundred three million, three hundred twenty thousand".