311340303120 has 320 divisors, whose sum is σ = 1203901231104. Its totient is φ = 64662312960.

The previous prime is 311340303103. The next prime is 311340303163. The reversal of 311340303120 is 21303043113.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66765909 + ... + 66770571.

Almost surely, 2^311340303120 is an apocalyptic number.

311340303120 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 311340303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601950615552).

311340303120 is an abundant number, since it is smaller than the sum of its proper divisors (892560927984).

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

311340303120 is a wasteful number, since it uses less digits than its factorization.

311340303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8310 (or 8304 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 311340303120 its reverse (21303043113), we get a palindrome (332643346233).

The spelling of 311340303120 in words is "three hundred eleven billion, three hundred forty million, three hundred three thousand, one hundred twenty".