311302221002120 has 16 divisors (see below), whose sum is σ = 700429997254860. Its totient is φ = 124520888400832.

The previous prime is 311302221002081. The next prime is 311302221002137. The reversal of 311302221002120 is 21200122203113.

It can be written as a sum of positive squares in 2 ways, for example, as 303345409910596 + 7956811091524 = 17416814^2 + 2820782^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 311302221002092 and 311302221002101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3891277762487 + ... + 3891277762566.

Almost surely, 2^{311302221002120} is an apocalyptic number.

It is an amenable number.

311302221002120 is an abundant number, since it is smaller than the sum of its proper divisors (389127776252740).

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

311302221002120 is a wasteful number, since it uses less digits than its factorization.

311302221002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7782555525064 (or 7782555525060 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 311302221002120 its reverse (21200122203113), we get a palindrome (332502343205233).

The spelling of 311302221002120 in words is "three hundred eleven trillion, three hundred two billion, two hundred twenty-one million, two thousand, one hundred twenty".