313330213120 has 144 divisors (see below), whose sum is σ = 772879242240. Its totient is φ = 121631129600.

The previous prime is 313330213081. The next prime is 313330213127. The reversal of 313330213120 is 21312033313.

It is a junction number, because it is equal to n+sod(n) for n = 313330213091 and 313330213100.

It is not an unprimeable number, because it can be changed into a prime (313330213127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10008051 + ... + 10039309.

It is an arithmetic number, because the mean of its divisors is an integer number (5367216960).

Almost surely, 2^313330213120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313330213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386439621120).

313330213120 is an abundant number, since it is smaller than the sum of its proper divisors (459549029120).

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

313330213120 is a wasteful number, since it uses less digits than its factorization.

313330213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31512 (or 31498 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 313330213120 its reverse (21312033313), we get a palindrome (334642246433).

The spelling of 313330213120 in words is "three hundred thirteen billion, three hundred thirty million, two hundred thirteen thousand, one hundred twenty".