311130120 has 128 divisors (see below), whose sum is σ = 1073399040. Its totient is φ = 70671360.

The previous prime is 311130049. The next prime is 311130133. The reversal of 311130120 is 21031113.

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 = 311130096 and 311130105.

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 31 ways as a sum of consecutive naturals, for example, 144250 + ... + 146390.

It is an arithmetic number, because the mean of its divisors is an integer number (8385930).

Almost surely, 2^311130120 is an apocalyptic number.

311130120 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 311130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536699520).

311130120 is an abundant number, since it is smaller than the sum of its proper divisors (762268920).

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

311130120 is a wasteful number, since it uses less digits than its factorization.

311130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2331 counting only the distinct ones).

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

The square root of 311130120 is about 17638.8809168836. The cubic root of 311130120 is about 677.6113713327.

Adding to 311130120 its reverse (21031113), we get a palindrome (332161233).

The spelling of 311130120 in words is "three hundred eleven million, one hundred thirty thousand, one hundred twenty".