311303113120 has 48 divisors (see below), whose sum is σ = 738315389448. Its totient is φ = 124036710400.

The previous prime is 311303113097. The next prime is 311303113129. The reversal of 311303113120 is 21311303113.

It can be written as a sum of positive squares in 4 ways, for example, as 302601208464 + 8701904656 = 550092^2 + 93284^2 .

It is a super-4 number, since 4×311303113120⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (311303113129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3744181 + ... + 3826420.

Almost surely, 2^311303113120 is an apocalyptic number.

It is an amenable number.

311303113120 is an abundant number, since it is smaller than the sum of its proper divisors (427012276328).

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

311303113120 is a wasteful number, since it uses less digits than its factorization.

311303113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7570873 (or 7570865 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 311303113120 its reverse (21311303113), we get a palindrome (332614416233).

The spelling of 311303113120 in words is "three hundred eleven billion, three hundred three million, one hundred thirteen thousand, one hundred twenty".