311112330100000 has 1152 divisors, whose sum is σ = 961833526714368. Its totient is φ = 97305600000000.

The previous prime is 311112330099979. The next prime is 311112330100001. The reversal of 311112330100000 is 1033211113.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (311112330100001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24553093665 + ... + 24553106335.

It is an arithmetic number, because the mean of its divisors is an integer number (834924936384).

Almost surely, 2^{311112330100000} 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 311112330100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480916763357184).

311112330100000 is an abundant number, since it is smaller than the sum of its proper divisors (650721196614368).

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

311112330100000 is a wasteful number, since it uses less digits than its factorization.

311112330100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12848 (or 12820 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 311112330100000 its reverse (1033211113), we get a palindrome (311113363311113).

The spelling of 311112330100000 in words is "three hundred eleven trillion, one hundred twelve billion, three hundred thirty million, one hundred thousand".