11213033313300 has 576 divisors, whose sum is σ = 42689371705344. Its totient is φ = 2205033062400.

The previous prime is 11213033313299. The next prime is 11213033313301. The reversal of 11213033313300 is 331333031211.

It is an interprime number because it is at equal distance from previous prime (11213033313299) and next prime (11213033313301).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213033313301) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47685015 + ... + 47919585.

It is an arithmetic number, because the mean of its divisors is an integer number (74113492544).

Almost surely, 2^{11213033313300} is an apocalyptic number.

11213033313300 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 11213033313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21344685852672).

11213033313300 is an abundant number, since it is smaller than the sum of its proper divisors (31476338392044).

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

11213033313300 is a wasteful number, since it uses less digits than its factorization.

11213033313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234728 (or 234721 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 11213033313300 its reverse (331333031211), we get a palindrome (11544366344511).

The spelling of 11213033313300 in words is "eleven trillion, two hundred thirteen billion, thirty-three million, three hundred thirteen thousand, three hundred".