313060020 has 144 divisors (see below), whose sum is σ = 1098252288. Its totient is φ = 66044160.

The previous prime is 313060009. The next prime is 313060021. The reversal of 313060020 is 20060313.

313060020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×313060020² = 196013152244800800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313060021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34125 + ... + 42315.

It is an arithmetic number, because the mean of its divisors is an integer number (7626752).

Almost surely, 2^313060020 is an apocalyptic number.

313060020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313060020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549126144).

313060020 is an abundant number, since it is smaller than the sum of its proper divisors (785192268).

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

313060020 is a wasteful number, since it uses less digits than its factorization.

313060020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8230 (or 8221 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 313060020 is about 17693.5021971344. The cubic root of 313060020 is about 679.0095297490.

The spelling of 313060020 in words is "three hundred thirteen million, sixty thousand, twenty".