11201111311032 has 192 divisors, whose sum is σ = 31858762665600. Its totient is φ = 3551072348160.

The previous prime is 11201111311031. The next prime is 11201111311123. The reversal of 11201111311032 is 23011311110211.

11201111311032 is a `hidden beast` number, since 11 + 201 + 111 + 311 + 0 + 32 = 666.

11201111311032 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 junction number, because it is equal to n+sod(n) for n = 11201111310996 and 11201111311014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201111311031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101237982 + ... + 101348562.

It is an arithmetic number, because the mean of its divisors is an integer number (165931055550).

Almost surely, 2^{11201111311032} is an apocalyptic number.

11201111311032 is a gapful number since it is divisible by the number (12) 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 11201111311032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15929381332800).

11201111311032 is an abundant number, since it is smaller than the sum of its proper divisors (20657651354568).

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

11201111311032 is a wasteful number, since it uses less digits than its factorization.

11201111311032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111486 (or 111479 counting only the distinct ones).

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

Adding to 11201111311032 its reverse (23011311110211), we get a palindrome (34212422421243).

The spelling of 11201111311032 in words is "eleven trillion, two hundred one billion, one hundred eleven million, three hundred eleven thousand, thirty-two".