313203323220000 has 480 divisors, whose sum is σ = 1031709980125440. Its totient is φ = 83168363520000.

The previous prime is 313203323219987. The next prime is 313203323220023. The reversal of 313203323220000 is 22323302313.

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 40210976106 + ... + 40210983894.

It is an arithmetic number, because the mean of its divisors is an integer number (2149395791928).

Almost surely, 2^{313203323220000} is an apocalyptic number.

313203323220000 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 313203323220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515854990062720).

313203323220000 is an abundant number, since it is smaller than the sum of its proper divisors (718506656905440).

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

313203323220000 is a wasteful number, since it uses less digits than its factorization.

313203323220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10566 (or 10543 counting only the distinct ones).

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

Adding to 313203323220000 its reverse (22323302313), we get a palindrome (313225646522313).

It can be divided in two parts, 313203 and 323220000, that added together give a triangular number (323533203 = T₂₅₄₃₇).

The spelling of 313203323220000 in words is "three hundred thirteen trillion, two hundred three billion, three hundred twenty-three million, two hundred twenty thousand".