311121113100 has 72 divisors (see below), whose sum is σ = 1028773820928. Its totient is φ = 71113396800.

The previous prime is 311121113087. The next prime is 311121113141. The reversal of 311121113100 is 1311121113.

It is a super-2 number, since 2×311121113100² (a number of 24 digits) contains 22 as substring.

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 311121113100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74074356 + ... + 74078555.

Almost surely, 2^311121113100 is an apocalyptic number.

311121113100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311121113100 is an abundant number, since it is smaller than the sum of its proper divisors (717652707828).

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

311121113100 is a wasteful number, since it uses less digits than its factorization.

311121113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148152935 (or 148152928 counting only the distinct ones).

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

Adding to 311121113100 its reverse (1311121113), we get a palindrome (312432234213).

The spelling of 311121113100 in words is "three hundred eleven billion, one hundred twenty-one million, one hundred thirteen thousand, one hundred".