11021223133300 has 72 divisors (see below), whose sum is σ = 24237922861152. Its totient is φ = 4349547696000.

The previous prime is 11021223133267. The next prime is 11021223133307. The reversal of 11021223133300 is 333132212011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11021223133307) 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, 165246 + ... + 4697845.

It is an arithmetic number, because the mean of its divisors is an integer number (336637817516).

Almost surely, 2^{11021223133300} is an apocalyptic number.

11021223133300 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 11021223133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12118961430576).

11021223133300 is an abundant number, since it is smaller than the sum of its proper divisors (13216699727852).

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

11021223133300 is a wasteful number, since it uses less digits than its factorization.

11021223133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4863409 (or 4863402 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 11021223133300 its reverse (333132212011), we get a palindrome (11354355345311).

The spelling of 11021223133300 in words is "eleven trillion, twenty-one billion, two hundred twenty-three million, one hundred thirty-three thousand, three hundred".