313323020322000 has 1280 divisors, whose sum is σ = 1149409313095680. Its totient is φ = 72849976320000.

The previous prime is 313323020321953. The next prime is 313323020322079. The reversal of 313323020322000 is 223020323313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 75920283937 + ... + 75920288063.

It is an arithmetic number, because the mean of its divisors is an integer number (897976025856).

Almost surely, 2^{313323020322000} is an apocalyptic number.

313323020322000 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 313323020322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574704656547840).

313323020322000 is an abundant number, since it is smaller than the sum of its proper divisors (836086292773680).

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

313323020322000 is a wasteful number, since it uses less digits than its factorization.

313323020322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4709 (or 4693 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 313323020322000 its reverse (223020323313), we get a palindrome (313546040645313).

The spelling of 313323020322000 in words is "three hundred thirteen trillion, three hundred twenty-three billion, twenty million, three hundred twenty-two thousand".