11300221300 has 36 divisors (see below), whose sum is σ = 25963924140. Its totient is φ = 4254200320.

The previous prime is 11300221271. The next prime is 11300221307. The reversal of 11300221300 is 312200311.

It can be written as a sum of positive squares in 6 ways, for example, as 2232036 + 11297989264 = 1494^2 + 106292^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300221307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3321895 + ... + 3325294.

It is an arithmetic number, because the mean of its divisors is an integer number (721220115).

Almost surely, 2^11300221300 is an apocalyptic number.

11300221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11300221300 is an abundant number, since it is smaller than the sum of its proper divisors (14663702840).

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

11300221300 is a wasteful number, since it uses less digits than its factorization.

11300221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6647220 (or 6647213 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 11300221300 its reverse (312200311), we get a palindrome (11612421611).

The spelling of 11300221300 in words is "eleven billion, three hundred million, two hundred twenty-one thousand, three hundred".