1100013130320 has 320 divisors, whose sum is σ = 3834543573504. Its totient is φ = 258829148160.

The previous prime is 1100013130303. The next prime is 1100013130417. The reversal of 1100013130320 is 230313100011.

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 1100013130320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133541242 + ... + 133549478.

Almost surely, 2^{1100013130320} is an apocalyptic number.

1100013130320 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 1100013130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917271786752).

1100013130320 is an abundant number, since it is smaller than the sum of its proper divisors (2734530443184).

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

1100013130320 is a wasteful number, since it uses less digits than its factorization.

1100013130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10150 (or 10144 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1100013130320 its reverse (230313100011), we get a palindrome (1330326230331).

The spelling of 1100013130320 in words is "one trillion, one hundred billion, thirteen million, one hundred thirty thousand, three hundred twenty".