1100133113000 has 128 divisors (see below), whose sum is σ = 2635223310720. Its totient is φ = 429649113600.

The previous prime is 1100133112933. The next prime is 1100133113011. The reversal of 1100133113000 is 3113310011.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203086292 + ... + 203091708.

It is an arithmetic number, because the mean of its divisors is an integer number (20587682115).

Almost surely, 2^{1100133113000} is an apocalyptic number.

1100133113000 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 1100133113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317611655360).

1100133113000 is an abundant number, since it is smaller than the sum of its proper divisors (1535090197720).

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

1100133113000 is a wasteful number, since it uses less digits than its factorization.

1100133113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10204 (or 10190 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 1100133113000 its reverse (3113310011), we get a palindrome (1103246423011).

The spelling of 1100133113000 in words is "one trillion, one hundred billion, one hundred thirty-three million, one hundred thirteen thousand".