313203010120 has 256 divisors, whose sum is σ = 952464199680. Its totient is φ = 89513856000.

The previous prime is 313203010093. The next prime is 313203010139. The reversal of 313203010120 is 21010302313.

It is a super-2 number, since 2×313203010120² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313203010094 and 313203010103.

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 63 ways as a sum of consecutive naturals, for example, 6020139 + ... + 6071941.

It is an arithmetic number, because the mean of its divisors is an integer number (3720563280).

Almost surely, 2^313203010120 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 313203010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476232099840).

313203010120 is an abundant number, since it is smaller than the sum of its proper divisors (639261189560).

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

313203010120 is a wasteful number, since it uses less digits than its factorization.

313203010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51996 (or 51992 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 313203010120 its reverse (21010302313), we get a palindrome (334213312433).

The spelling of 313203010120 in words is "three hundred thirteen billion, two hundred three million, ten thousand, one hundred twenty".