313022122320000 has 640 divisors, whose sum is σ = 1091896864407360. Its totient is φ = 79327696896000.

The previous prime is 313022122319927. The next prime is 313022122320031. The reversal of 313022122320000 is 23221220313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 381430114 + ... + 382249886.

Almost surely, 2^{313022122320000} is an apocalyptic number.

313022122320000 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 313022122320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545948432203680).

313022122320000 is an abundant number, since it is smaller than the sum of its proper divisors (778874742087360).

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

313022122320000 is an equidigital number, since it uses as much as digits as its factorization.

313022122320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819890 (or 819863 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 313022122320000 its reverse (23221220313), we get a palindrome (313045343540313).

The spelling of 313022122320000 in words is "three hundred thirteen trillion, twenty-two billion, one hundred twenty-two million, three hundred twenty thousand".