1101310311200 has 144 divisors (see below), whose sum is σ = 2935758349440. Its totient is φ = 400098432000.

The previous prime is 1101310311173. The next prime is 1101310311259. The reversal of 1101310311200 is 21130131011.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9348665 + ... + 9465735.

It is an arithmetic number, because the mean of its divisors is an integer number (20387210760).

Almost surely, 2^{1101310311200} is an apocalyptic number.

1101310311200 is a gapful number since it is divisible by the number (10) 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 1101310311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467879174720).

1101310311200 is an abundant number, since it is smaller than the sum of its proper divisors (1834448038240).

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

1101310311200 is a wasteful number, since it uses less digits than its factorization.

1101310311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118171 (or 118158 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1101310311200 its reverse (21130131011), we get a palindrome (1122440442211).

The spelling of 1101310311200 in words is "one trillion, one hundred one billion, three hundred ten million, three hundred eleven thousand, two hundred".