11000013200 has 360 divisors, whose sum is σ = 31886787240. Its totient is φ = 3627008000.

The previous prime is 11000013139. The next prime is 11000013221. The reversal of 11000013200 is 231000011.

It can be written as a sum of positive squares in 12 ways, for example, as 2224820224 + 8775192976 = 47168^2 + 93676^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23860970 + ... + 23861430.

It is an arithmetic number, because the mean of its divisors is an integer number (88574409).

Almost surely, 2^11000013200 is an apocalyptic number.

11000013200 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 11000013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15943393620).

11000013200 is an abundant number, since it is smaller than the sum of its proper divisors (20886774040).

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

11000013200 is a wasteful number, since it uses less digits than its factorization.

11000013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 11000013200 its reverse (231000011), we get a palindrome (11231013211).

The spelling of 11000013200 in words is "eleven billion, thirteen thousand, two hundred".