11000211300 has 108 divisors (see below), whose sum is σ = 37131863860. Its totient is φ = 2707741440.

The previous prime is 11000211197. The next prime is 11000211319. The reversal of 11000211300 is 311200011.

It can be written as a sum of positive squares in 6 ways, for example, as 2777711616 + 8222499684 = 52704^2 + 90678^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 458395 + ... + 481794.

Almost surely, 2^11000211300 is an apocalyptic number.

11000211300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000211300 is an abundant number, since it is smaller than the sum of its proper divisors (26131652560).

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

11000211300 is a wasteful number, since it uses less digits than its factorization.

11000211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940222 (or 940212 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11000211300 its reverse (311200011), we get a palindrome (11311411311).

The spelling of 11000211300 in words is "eleven billion, two hundred eleven thousand, three hundred".