11003121300 has 72 divisors (see below), whose sum is σ = 31976140896. Its totient is φ = 2921221760.

The previous prime is 11003121277. The next prime is 11003121313. The reversal of 11003121300 is 312130011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12687 + ... + 148886.

It is an arithmetic number, because the mean of its divisors is an integer number (444113068).

Almost surely, 2^11003121300 is an apocalyptic number.

11003121300 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 11003121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15988070448).

11003121300 is an abundant number, since it is smaller than the sum of its proper divisors (20973019596).

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

11003121300 is a wasteful number, since it uses less digits than its factorization.

11003121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161817 (or 161810 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11003121300 its reverse (312130011), we get a palindrome (11315251311).

The spelling of 11003121300 in words is "eleven billion, three million, one hundred twenty-one thousand, three hundred".