311311001102112 has 384 divisors, whose sum is σ = 1058984366469120. Its totient is φ = 87925432504320.

The previous prime is 311311001102069. The next prime is 311311001102119. The reversal of 311311001102112 is 211201100113113.

311311001102112 is a `hidden beast` number, since 31 + 1 + 311 + 0 + 0 + 110 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (311311001102119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7288053 + ... + 25994955.

It is an arithmetic number, because the mean of its divisors is an integer number (2757771787680).

Almost surely, 2^{311311001102112} is an apocalyptic number.

311311001102112 is a gapful number since it is divisible by the number (32) 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 311311001102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529492183234560).

311311001102112 is an abundant number, since it is smaller than the sum of its proper divisors (747673365367008).

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

311311001102112 is a wasteful number, since it uses less digits than its factorization.

311311001102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18707053 (or 18707039 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 311311001102112 its reverse (211201100113113), we get a palindrome (522512101215225).

The spelling of 311311001102112 in words is "three hundred eleven trillion, three hundred eleven billion, one million, one hundred two thousand, one hundred twelve".