11200133034 has 128 divisors (see below), whose sum is σ = 27142963200. Its totient is φ = 3410320320.

The previous prime is 11200133029. The next prime is 11200133047. The reversal of 11200133034 is 43033100211.

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

It is a junction number, because it is equal to n+sod(n) for n = 11200132998 and 11200133016.

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 63 ways as a sum of consecutive naturals, for example, 12626539 + ... + 12627425.

It is an arithmetic number, because the mean of its divisors is an integer number (212054400).

Almost surely, 2^11200133034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200133034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13571481600).

11200133034 is an abundant number, since it is smaller than the sum of its proper divisors (15942830166).

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

11200133034 is a wasteful number, since it uses less digits than its factorization.

11200133034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11200133034 its reverse (43033100211), we get a palindrome (54233233245).

The spelling of 11200133034 in words is "eleven billion, two hundred million, one hundred thirty-three thousand, thirty-four".