311130310120 has 256 divisors, whose sum is σ = 853079040000. Its totient is φ = 99754675200.

The previous prime is 311130310097. The next prime is 311130310121. The reversal of 311130310120 is 21013031113.

It is a junction number, because it is equal to n+sod(n) for n = 311130310094 and 311130310103.

It is not an unprimeable number, because it can be changed into a prime (311130310121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 235882821 + ... + 235884139.

It is an arithmetic number, because the mean of its divisors is an integer number (3332340000).

Almost surely, 2^311130310120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311130310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426539520000).

311130310120 is an abundant number, since it is smaller than the sum of its proper divisors (541948729880).

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

311130310120 is a wasteful number, since it uses less digits than its factorization.

311130310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 311130310120 its reverse (21013031113), we get a palindrome (332143341233).

The spelling of 311130310120 in words is "three hundred eleven billion, one hundred thirty million, three hundred ten thousand, one hundred twenty".