311013120 has 288 divisors, whose sum is σ = 1118476800. Its totient is φ = 72990720.

The previous prime is 311013103. The next prime is 311013133. The reversal of 311013120 is 21310113.

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 = 311013096 and 311013105.

It is a congruent number.

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, 1562781 + ... + 1562979.

It is an arithmetic number, because the mean of its divisors is an integer number (3883600).

Almost surely, 2^311013120 is an apocalyptic number.

311013120 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 311013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559238400).

311013120 is an abundant number, since it is smaller than the sum of its proper divisors (807463680).

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

311013120 is a wasteful number, since it uses less digits than its factorization.

311013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

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

The square root of 311013120 is about 17635.5640680983. The cubic root of 311013120 is about 677.5264224478.

Adding to 311013120 its reverse (21310113), we get a palindrome (332323233).

The spelling of 311013120 in words is "three hundred eleven million, thirteen thousand, one hundred twenty".