313125120 has 432 divisors, whose sum is σ = 1354534272. Its totient is φ = 64880640.

The previous prime is 313125101. The next prime is 313125143. The reversal of 313125120 is 21521313.

313125120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313125093 and 313125102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 886864 + ... + 887216.

It is an arithmetic number, because the mean of its divisors is an integer number (3135496).

Almost surely, 2^313125120 is an apocalyptic number.

313125120 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 313125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677267136).

313125120 is an abundant number, since it is smaller than the sum of its proper divisors (1041409152).

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

313125120 is a wasteful number, since it uses less digits than its factorization.

313125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 313125120 is about 17695.3417599096. The cubic root of 313125120 is about 679.0565925633.

Adding to 313125120 its reverse (21521313), we get a palindrome (334646433).

The spelling of 313125120 in words is "three hundred thirteen million, one hundred twenty-five thousand, one hundred twenty".