11333130210100 has 72 divisors (see below), whose sum is σ = 24872410360728. Its totient is φ = 4481928192000.

The previous prime is 11333130209969. The next prime is 11333130210133. The reversal of 11333130210100 is 101203133311.

11333130210100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 5934115488016 + 5399014722084 = 2436004^2 + 2323578^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3280762 + ... + 5781838.

It is an arithmetic number, because the mean of its divisors is an integer number (345450143899).

Almost surely, 2^{11333130210100} is an apocalyptic number.

11333130210100 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 11333130210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12436205180364).

11333130210100 is an abundant number, since it is smaller than the sum of its proper divisors (13539280150628).

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

11333130210100 is a wasteful number, since it uses less digits than its factorization.

11333130210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501605 (or 2501598 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 11333130210100 its reverse (101203133311), we get a palindrome (11434333343411).

The spelling of 11333130210100 in words is "eleven trillion, three hundred thirty-three billion, one hundred thirty million, two hundred ten thousand, one hundred".