311311121120 has 72 divisors (see below), whose sum is σ = 748150780104. Its totient is φ = 122413645568.

The previous prime is 311311121089. The next prime is 311311121153. The reversal of 311311121120 is 21121113113.

It is a super-2 number, since 2×311311121120² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277487 + ... + 836433.

It is an arithmetic number, because the mean of its divisors is an integer number (10390983057).

Almost surely, 2^311311121120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311311121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374075390052).

311311121120 is an abundant number, since it is smaller than the sum of its proper divisors (436839658984).

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

311311121120 is an equidigital number, since it uses as much as digits as its factorization.

311311121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559080 (or 559013 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 311311121120 its reverse (21121113113), we get a palindrome (332432234233).

The spelling of 311311121120 in words is "three hundred eleven billion, three hundred eleven million, one hundred twenty-one thousand, one hundred twenty".