11300133011072 has 128 divisors (see below), whose sum is σ = 24770887680000. Its totient is φ = 5114454359040.

The previous prime is 11300133011071. The next prime is 11300133011099. The reversal of 11300133011072 is 27011033100311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×11300133011072³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11300133011071) 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 15 ways as a sum of consecutive naturals, for example, 5007329 + ... + 6904607.

It is an arithmetic number, because the mean of its divisors is an integer number (193522560000).

Almost surely, 2^{11300133011072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11300133011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12385443840000).

11300133011072 is an abundant number, since it is smaller than the sum of its proper divisors (13470754668928).

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

11300133011072 is a wasteful number, since it uses less digits than its factorization.

11300133011072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897422 (or 1897410 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

Adding to 11300133011072 its reverse (27011033100311), we get a palindrome (38311166111383).

The spelling of 11300133011072 in words is "eleven trillion, three hundred billion, one hundred thirty-three million, eleven thousand, seventy-two".