11012100133230 has 256 divisors, whose sum is σ = 34138195200000. Its totient is φ = 2473760037888.

The previous prime is 11012100133217. The next prime is 11012100133303. The reversal of 11012100133230 is 3233100121011.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 543824146 + ... + 543844394.

It is an arithmetic number, because the mean of its divisors is an integer number (133352325000).

Almost surely, 2^{11012100133230} is an apocalyptic number.

11012100133230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11012100133230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17069097600000).

11012100133230 is an abundant number, since it is smaller than the sum of its proper divisors (23126095066770).

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

11012100133230 is a wasteful number, since it uses less digits than its factorization.

11012100133230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25208 (or 25202 counting only the distinct ones).

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

Adding to 11012100133230 its reverse (3233100121011), we get a palindrome (14245200254241).

The spelling of 11012100133230 in words is "eleven trillion, twelve billion, one hundred million, one hundred thirty-three thousand, two hundred thirty".