11330121221300 has 324 divisors, whose sum is σ = 30955253557284. Its totient is φ = 3587099443200.

The previous prime is 11330121221291. The next prime is 11330121221347. The reversal of 11330121221300 is 312212103311.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 1223050199056 + 10107071022244 = 1105916^2 + 3179162^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 74977820 + ... + 75128780.

It is an arithmetic number, because the mean of its divisors is an integer number (95540906041).

Almost surely, 2^{11330121221300} is an apocalyptic number.

11330121221300 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 11330121221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15477626778642).

11330121221300 is an abundant number, since it is smaller than the sum of its proper divisors (19625132335984).

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

11330121221300 is a wasteful number, since it uses less digits than its factorization.

11330121221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151076 (or 151045 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11330121221300 its reverse (312212103311), we get a palindrome (11642333324611).

The spelling of 11330121221300 in words is "eleven trillion, three hundred thirty billion, one hundred twenty-one million, two hundred twenty-one thousand, three hundred".