311113121100 has 144 divisors (see below), whose sum is σ = 916485403680. Its totient is φ = 81462988800.

The previous prime is 311113121089. The next prime is 311113121147. The reversal of 311113121100 is 1121311113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 311113121100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10837566 + ... + 10866234.

It is an arithmetic number, because the mean of its divisors is an integer number (6364481970).

Almost surely, 2^311113121100 is an apocalyptic number.

311113121100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311113121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458242701840).

311113121100 is an abundant number, since it is smaller than the sum of its proper divisors (605372282580).

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

311113121100 is a wasteful number, since it uses less digits than its factorization.

311113121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29340 (or 29333 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 311113121100 its reverse (1121311113), we get a palindrome (312234432213).

The spelling of 311113121100 in words is "three hundred eleven billion, one hundred thirteen million, one hundred twenty-one thousand, one hundred".