1100013300300 has 144 divisors (see below), whose sum is σ = 3201901315200. Its totient is φ = 291569126400.

The previous prime is 1100013300271. The next prime is 1100013300301. The reversal of 1100013300300 is 30033100011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1100013300301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233001940 + ... + 233006660.

It is an arithmetic number, because the mean of its divisors is an integer number (22235425800).

Almost surely, 2^{1100013300300} is an apocalyptic number.

1100013300300 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 1100013300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600950657600).

1100013300300 is an abundant number, since it is smaller than the sum of its proper divisors (2101888014900).

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

1100013300300 is a wasteful number, since it uses less digits than its factorization.

1100013300300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9256 (or 9249 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 1100013300300 its reverse (30033100011), we get a palindrome (1130046400311).

The spelling of 1100013300300 in words is "one trillion, one hundred billion, thirteen million, three hundred thousand, three hundred".