1101113131200 has 168 divisors, whose sum is σ = 3613368521280. Its totient is φ = 293565158400.

The previous prime is 1101113131199. The next prime is 1101113131219. The reversal of 1101113131200 is 21313111011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1101113131200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24029911 + ... + 24075689.

It is an arithmetic number, because the mean of its divisors is an integer number (21508145960).

Almost surely, 2^{1101113131200} is an apocalyptic number.

1101113131200 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 1101113131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806684260640).

1101113131200 is an abundant number, since it is smaller than the sum of its proper divisors (2512255390080).

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

1101113131200 is a wasteful number, since it uses less digits than its factorization.

1101113131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50815 (or 50800 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1101113131200 its reverse (21313111011), we get a palindrome (1122426242211).

The spelling of 1101113131200 in words is "one trillion, one hundred one billion, one hundred thirteen million, one hundred thirty-one thousand, two hundred".