311441044201320 has 256 divisors, whose sum is σ = 1021063536691200. Its totient is φ = 75367434562560.

The previous prime is 311441044201303. The next prime is 311441044201369. The reversal of 311441044201320 is 23102440144113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4089959487 + ... + 4090035633.

It is an arithmetic number, because the mean of its divisors is an integer number (3988529440200).

Almost surely, 2^{311441044201320} is an apocalyptic number.

311441044201320 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 311441044201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510531768345600).

311441044201320 is an abundant number, since it is smaller than the sum of its proper divisors (709622492489880).

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

311441044201320 is a wasteful number, since it uses less digits than its factorization.

311441044201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81608 (or 81604 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 311441044201320 its reverse (23102440144113), we get a palindrome (334543484345433).

The spelling of 311441044201320 in words is "three hundred eleven trillion, four hundred forty-one billion, forty-four million, two hundred one thousand, three hundred twenty".