11033034410020 has 192 divisors, whose sum is σ = 27966981611520. Its totient is φ = 3571583113728.

The previous prime is 11033034409979. The next prime is 11033034410053. The reversal of 11033034410020 is 2001443033011.

It is a junction number, because it is equal to n+sod(n) for n = 11033034409973 and 11033034410000.

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, 2160372307 + ... + 2160377413.

It is an arithmetic number, because the mean of its divisors is an integer number (145661362560).

Almost surely, 2^{11033034410020} is an apocalyptic number.

11033034410020 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 11033034410020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13983490805760).

11033034410020 is an abundant number, since it is smaller than the sum of its proper divisors (16933947201500).

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

11033034410020 is a wasteful number, since it uses less digits than its factorization.

11033034410020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7722 (or 7720 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 11033034410020 its reverse (2001443033011), we get a palindrome (13034477443031).

The spelling of 11033034410020 in words is "eleven trillion, thirty-three billion, thirty-four million, four hundred ten thousand, twenty".