311310120 has 128 divisors (see below), whose sum is σ = 1078842240. Its totient is φ = 71024640.

The previous prime is 311310107. The next prime is 311310127. The reversal of 311310120 is 21013113.

311310120 = 43² + 44² + ... + 977².

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 = 311310096 and 311310105.

It is not an unprimeable number, because it can be changed into a prime (311310127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15504 + ... + 29376.

It is an arithmetic number, because the mean of its divisors is an integer number (8428455).

Almost surely, 2^311310120 is an apocalyptic number.

311310120 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 311310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539421120).

311310120 is an abundant number, since it is smaller than the sum of its proper divisors (767532120).

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

311310120 is a wasteful number, since it uses less digits than its factorization.

311310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13915 (or 13911 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 311310120 is about 17643.9825436323. The cubic root of 311310120 is about 677.7420203497.

Adding to 311310120 its reverse (21013113), we get a palindrome (332323233).

The spelling of 311310120 in words is "three hundred eleven million, three hundred ten thousand, one hundred twenty".