313312331020 has 96 divisors (see below), whose sum is σ = 722688023232. Its totient is φ = 113398714368.

The previous prime is 313312330999. The next prime is 313312331021. The reversal of 313312331020 is 20133213313.

It is a junction number, because it is equal to n+sod(n) for n = 313312330982 and 313312331000.

It is not an unprimeable number, because it can be changed into a prime (313312331021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3043104 + ... + 3144376.

It is an arithmetic number, because the mean of its divisors is an integer number (7528000242).

Almost surely, 2^313312331020 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 313312331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361344011616).

313312331020 is an abundant number, since it is smaller than the sum of its proper divisors (409375692212).

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

313312331020 is a wasteful number, since it uses less digits than its factorization.

313312331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101531 (or 101529 counting only the distinct ones).

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

Adding to 313312331020 its reverse (20133213313), we get a palindrome (333445544333).

The spelling of 313312331020 in words is "three hundred thirteen billion, three hundred twelve million, three hundred thirty-one thousand, twenty".