313102002220 has 144 divisors (see below), whose sum is σ = 773095875552. Its totient is φ = 106199009280.

The previous prime is 313102002211. The next prime is 313102002253. The reversal of 313102002220 is 22200201313.

It is a junction number, because it is equal to n+sod(n) for n = 313102002194 and 313102002203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43260442 + ... + 43267678.

It is an arithmetic number, because the mean of its divisors is an integer number (5368721358).

Almost surely, 2^313102002220 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 313102002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386547937776).

313102002220 is an abundant number, since it is smaller than the sum of its proper divisors (459993873332).

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

313102002220 is a wasteful number, since it uses less digits than its factorization.

313102002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7728 (or 7719 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 313102002220 its reverse (22200201313), we get a palindrome (335302203533).

The spelling of 313102002220 in words is "three hundred thirteen billion, one hundred two million, two thousand, two hundred twenty".