313020120 has 256 divisors, whose sum is σ = 1119744000. Its totient is φ = 68530176.

The previous prime is 313020119. The next prime is 313020137. The reversal of 313020120 is 21020313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 313020096 and 313020105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3517036 + ... + 3517124.

It is an arithmetic number, because the mean of its divisors is an integer number (4374000).

Almost surely, 2^313020120 is an apocalyptic number.

313020120 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 313020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559872000).

313020120 is an abundant number, since it is smaller than the sum of its proper divisors (806723880).

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

313020120 is a wasteful number, since it uses less digits than its factorization.

313020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 313020120 is about 17692.3746286359. The cubic root of 313020120 is about 678.9806815734.

Adding to 313020120 its reverse (21020313), we get a palindrome (334040433).

The spelling of 313020120 in words is "three hundred thirteen million, twenty thousand, one hundred twenty".