311010313120 has 48 divisors (see below), whose sum is σ = 791282013480. Its totient is φ = 114834576384.

The previous prime is 311010313043. The next prime is 311010313123. The reversal of 311010313120 is 21313010113.

It can be written as a sum of positive squares in 4 ways, for example, as 76913038224 + 234097274896 = 277332^2 + 483836^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 311010313094 and 311010313103.

It is not an unprimeable number, because it can be changed into a prime (311010313123) 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, 74760015 + ... + 74764174.

Almost surely, 2^311010313120 is an apocalyptic number.

It is an amenable number.

311010313120 is an abundant number, since it is smaller than the sum of its proper divisors (480271700360).

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

311010313120 is a wasteful number, since it uses less digits than its factorization.

311010313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149524217 (or 149524209 counting only the distinct ones).

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

Adding to 311010313120 its reverse (21313010113), we get a palindrome (332323323233).

The spelling of 311010313120 in words is "three hundred eleven billion, ten million, three hundred thirteen thousand, one hundred twenty".