11201011011036 has 480 divisors, whose sum is σ = 36985412395008. Its totient is φ = 2871301530240.

The previous prime is 11201011010993. The next prime is 11201011011049. The reversal of 11201011011036 is 63011011010211.

11201011011036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2532444321 + ... + 2532448743.

Almost surely, 2^{11201011011036} 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 11201011011036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18492706197504).

11201011011036 is an abundant number, since it is smaller than the sum of its proper divisors (25784401383972).

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

11201011011036 is a wasteful number, since it uses less digits than its factorization.

11201011011036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5763 (or 5752 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11201011011036 its reverse (63011011010211), we get a palindrome (74212022021247).

The spelling of 11201011011036 in words is "eleven trillion, two hundred one billion, eleven million, eleven thousand, thirty-six".