11013200321100 has 144 divisors (see below), whose sum is σ = 32608486339968. Its totient is φ = 2868327221760.

The previous prime is 11013200321027. The next prime is 11013200321141. The reversal of 11013200321100 is 112300231011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11013200321100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216526872 + ... + 216577728.

Almost surely, 2^{11013200321100} is an apocalyptic number.

11013200321100 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 11013200321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16304243169984).

11013200321100 is an abundant number, since it is smaller than the sum of its proper divisors (21595286018868).

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

11013200321100 is a wasteful number, since it uses less digits than its factorization.

11013200321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67704 (or 67697 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11013200321100 its reverse (112300231011), we get a palindrome (11125500552111).

The spelling of 11013200321100 in words is "eleven trillion, thirteen billion, two hundred million, three hundred twenty-one thousand, one hundred".