11201131323000 has 384 divisors, whose sum is σ = 39430794349440. Its totient is φ = 2865300480000.

The previous prime is 11201131322977. The next prime is 11201131323047. The reversal of 11201131323000 is 32313110211.

11201131323000 is a `hidden beast` number, since 1 + 1 + 201 + 131 + 32 + 300 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 23406120 + ... + 23879880.

It is an arithmetic number, because the mean of its divisors is an integer number (102684360285).

Almost surely, 2^{11201131323000} is an apocalyptic number.

11201131323000 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 11201131323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19715397174720).

11201131323000 is an abundant number, since it is smaller than the sum of its proper divisors (28229663026440).

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

11201131323000 is a wasteful number, since it uses less digits than its factorization.

11201131323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473896 (or 473879 counting only the distinct ones).

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

Adding to 11201131323000 its reverse (32313110211), we get a palindrome (11233444433211).

The spelling of 11201131323000 in words is "eleven trillion, two hundred one billion, one hundred thirty-one million, three hundred twenty-three thousand".