1101331100000 has 144 divisors (see below), whose sum is σ = 2744458718400. Its totient is φ = 434952960000.

The previous prime is 1101331099993. The next prime is 1101331100063. The reversal of 1101331100000 is 11331011.

It is a happy number.

It is a congruent number.

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, 7830296 + ... + 7969704.

It is an arithmetic number, because the mean of its divisors is an integer number (19058741100).

Almost surely, 2^{1101331100000} is an apocalyptic number.

1101331100000 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 1101331100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372229359200).

1101331100000 is an abundant number, since it is smaller than the sum of its proper divisors (1643127618400).

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

1101331100000 is an frugal number, since it uses more digits than its factorization.

1101331100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139523 (or 139495 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 1101331100000 its reverse (11331011), we get a palindrome (1101342431011).

The spelling of 1101331100000 in words is "one trillion, one hundred one billion, three hundred thirty-one million, one hundred thousand".