11333020003020 has 144 divisors (see below), whose sum is σ = 35563414618368. Its totient is φ = 2918249994240.

The previous prime is 11333020002991. The next prime is 11333020003021. The reversal of 11333020003020 is 2030002033311.

11333020003020 is a `hidden beast` number, since 1 + 13 + 330 + 20 + 0 + 0 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11333020002984 and 11333020003002.

It is not an unprimeable number, because it can be changed into a prime (11333020003021) 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, 327952 + ... + 4772168.

It is an arithmetic number, because the mean of its divisors is an integer number (246968157072).

Almost surely, 2^{11333020003020} is an apocalyptic number.

11333020003020 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 11333020003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781707309184).

11333020003020 is an abundant number, since it is smaller than the sum of its proper divisors (24230394615348).

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

11333020003020 is a wasteful number, since it uses less digits than its factorization.

11333020003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4444720 (or 4444715 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 11333020003020 its reverse (2030002033311), we get a palindrome (13363022036331).

The spelling of 11333020003020 in words is "eleven trillion, three hundred thirty-three billion, twenty million, three thousand, twenty".