311001000100112 has 160 divisors (see below), whose sum is σ = 700542076937472. Its totient is φ = 131007574720512.

The previous prime is 311001000100099. The next prime is 311001000100117. The reversal of 311001000100112 is 211001000100113.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 311001000100093 and 311001000100102.

It is not an unprimeable number, because it can be changed into a prime (311001000100117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 765219068 + ... + 765625380.

Almost surely, 2^{311001000100112} 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 311001000100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350271038468736).

311001000100112 is an abundant number, since it is smaller than the sum of its proper divisors (389541076837360).

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

311001000100112 is a wasteful number, since it uses less digits than its factorization.

311001000100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406945 (or 406939 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 311001000100112 its reverse (211001000100113), we get a palindrome (522002000200225).

Subtracting from 311001000100112 its reverse (211001000100113), we obtain a palindrome (99999999999999).

The spelling of 311001000100112 in words is "three hundred eleven trillion, one billion, one hundred thousand, one hundred twelve".