11033300113300 has 72 divisors (see below), whose sum is σ = 24219609691256. Its totient is φ = 4362487234560.

The previous prime is 11033300113273. The next prime is 11033300113307. The reversal of 11033300113300 is 331100333011.

It is a happy number.

11033300113300 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 8071610559364 + 2961689553936 = 2841058^2 + 1720956^2 .

It is a super-2 number, since 2×11033300113300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11033300113307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1209484 + ... + 4850716.

Almost surely, 2^{11033300113300} is an apocalyptic number.

11033300113300 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 11033300113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12109804845628).

11033300113300 is an abundant number, since it is smaller than the sum of its proper divisors (13186309577956).

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

11033300113300 is a wasteful number, since it uses less digits than its factorization.

11033300113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641597 (or 3641590 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 11033300113300 its reverse (331100333011), we get a palindrome (11364400446311).

The spelling of 11033300113300 in words is "eleven trillion, thirty-three billion, three hundred million, one hundred thirteen thousand, three hundred".