311101121020 has 48 divisors (see below), whose sum is σ = 669790009728. Its totient is φ = 121306775040.

The previous prime is 311101121011. The next prime is 311101121021. The reversal of 311101121020 is 20121101113.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311101121021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 860989 + ... + 1167691.

It is an arithmetic number, because the mean of its divisors is an integer number (13953958536).

Almost surely, 2^311101121020 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 311101121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334895004864).

311101121020 is an abundant number, since it is smaller than the sum of its proper divisors (358688888708).

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

311101121020 is a wasteful number, since it uses less digits than its factorization.

311101121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307990 (or 307988 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 311101121020 its reverse (20121101113), we get a palindrome (331222222133).

The spelling of 311101121020 in words is "three hundred eleven billion, one hundred one million, one hundred twenty-one thousand, twenty".