11201333010000 has 800 divisors, whose sum is σ = 43139511537408. Its totient is φ = 2450165760000.

The previous prime is 11201333009959. The next prime is 11201333010013. The reversal of 11201333010000 is 1033310211.

It is a super-2 number, since 2×11201333010000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 473958184 + ... + 473981816.

Almost surely, 2^{11201333010000} is an apocalyptic number.

11201333010000 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 11201333010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21569755768704).

11201333010000 is an abundant number, since it is smaller than the sum of its proper divisors (31938178527408).

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

11201333010000 is a wasteful number, since it uses less digits than its factorization.

11201333010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23769 (or 23748 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11201333010000 its reverse (1033310211), we get a palindrome (11202366320211).

The spelling of 11201333010000 in words is "eleven trillion, two hundred one billion, three hundred thirty-three million, ten thousand".