1100013133120 has 224 divisors, whose sum is σ = 2902612838400. Its totient is φ = 393713510400.

The previous prime is 1100013133061. The next prime is 1100013133211. The reversal of 1100013133120 is 213313100011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1100013133094 and 1100013133103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164693941 + ... + 164700619.

Almost surely, 2^{1100013133120} is an apocalyptic number.

1100013133120 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 1100013133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451306419200).

1100013133120 is an abundant number, since it is smaller than the sum of its proper divisors (1802599705280).

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

1100013133120 is a wasteful number, since it uses less digits than its factorization.

1100013133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7437 (or 7427 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1100013133120 its reverse (213313100011), we get a palindrome (1313326233131).

The spelling of 1100013133120 in words is "one trillion, one hundred billion, thirteen million, one hundred thirty-three thousand, one hundred twenty".