11321211003300 has 486 divisors, whose sum is σ = 41166032636274. Its totient is φ = 2600077708800.

The previous prime is 11321211003283. The next prime is 11321211003331. The reversal of 11321211003300 is 330011212311.

11321211003300 is a `hidden beast` number, since 1 + 1 + 321 + 2 + 1 + 10 + 0 + 330 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 18341826624 + 11302869176676 = 135432^2 + 3361974^2 .

It is a super-2 number, since 2×11321211003300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 39168912 + ... + 39456888.

Almost surely, 2^{11321211003300} is an apocalyptic number.

11321211003300 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 11321211003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20583016318137).

11321211003300 is an abundant number, since it is smaller than the sum of its proper divisors (29844821632974).

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

11321211003300 is a wasteful number, since it uses less digits than its factorization.

11321211003300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288057 (or 288017 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11321211003300 its reverse (330011212311), we get a palindrome (11651222215611).

The spelling of 11321211003300 in words is "eleven trillion, three hundred twenty-one billion, two hundred eleven million, three thousand, three hundred".