313113020 has 72 divisors (see below), whose sum is σ = 741699504. Its totient is φ = 110112000.

The previous prime is 313112999. The next prime is 313113037. The reversal of 313113020 is 20311313.

It is a junction number, because it is equal to n+sod(n) for n = 313112986 and 313113004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210680 + ... + 212160.

It is an arithmetic number, because the mean of its divisors is an integer number (10301382).

Almost surely, 2^313113020 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 313113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370849752).

313113020 is an abundant number, since it is smaller than the sum of its proper divisors (428586484).

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

313113020 is a wasteful number, since it uses less digits than its factorization.

313113020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 313113020 is about 17694.9998587172. Note that the first 3 decimals coincide. The cubic root of 313113020 is about 679.0478455906.

Adding to 313113020 its reverse (20311313), we get a palindrome (333424333).

The spelling of 313113020 in words is "three hundred thirteen million, one hundred thirteen thousand, twenty".