11322100133100 has 216 divisors, whose sum is σ = 36555831818688. Its totient is φ = 2928906086400.

The previous prime is 11322100132999. The next prime is 11322100133131. The reversal of 11322100133100 is 133100122311.

11322100133100 is a `hidden beast` number, since 1 + 1 + 322 + 10 + 0 + 1 + 331 + 0 + 0 = 666.

It is a super-2 number, since 2×11322100133100² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10717645 + ... + 11726555.

Almost surely, 2^{11322100133100} is an apocalyptic number.

11322100133100 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 11322100133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18277915909344).

11322100133100 is an abundant number, since it is smaller than the sum of its proper divisors (25233731685588).

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

11322100133100 is a wasteful number, since it uses less digits than its factorization.

11322100133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009305 (or 1009295 counting only the distinct ones).

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

Adding to 11322100133100 its reverse (133100122311), we get a palindrome (11455200255411).

The spelling of 11322100133100 in words is "eleven trillion, three hundred twenty-two billion, one hundred million, one hundred thirty-three thousand, one hundred".