11330133032100 has 144 divisors (see below), whose sum is σ = 33583627385280. Its totient is φ = 2947482163200.

The previous prime is 11330133032093. The next prime is 11330133032107. The reversal of 11330133032100 is 123033103311.

It is an interprime number because it is at equal distance from previous prime (11330133032093) and next prime (11330133032107).

It is not an unprimeable number, because it can be changed into a prime (11330133032107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 347864616 + ... + 347897184.

It is an arithmetic number, because the mean of its divisors is an integer number (233219634620).

Almost surely, 2^{11330133032100} is an apocalyptic number.

11330133032100 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 11330133032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16791813692640).

11330133032100 is an abundant number, since it is smaller than the sum of its proper divisors (22253494353180).

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

11330133032100 is a wasteful number, since it uses less digits than its factorization.

11330133032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60910 (or 60903 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 11330133032100 its reverse (123033103311), we get a palindrome (11453166135411).

The spelling of 11330133032100 in words is "eleven trillion, three hundred thirty billion, one hundred thirty-three million, thirty-two thousand, one hundred".