11331320202000 has 400 divisors, whose sum is σ = 41092781393664. Its totient is φ = 3009636000000.

The previous prime is 11331320201969. The next prime is 11331320202047. The reversal of 11331320202000 is 20202313311.

11331320202000 is a `hidden beast` number, since 11 + 331 + 320 + 2 + 0 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40522665 + ... + 40801335.

Almost surely, 2^{11331320202000} is an apocalyptic number.

11331320202000 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 11331320202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20546390696832).

11331320202000 is an abundant number, since it is smaller than the sum of its proper divisors (29761461191664).

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

11331320202000 is a wasteful number, since it uses less digits than its factorization.

11331320202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278957 (or 278932 counting only the distinct ones).

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

Adding to 11331320202000 its reverse (20202313311), we get a palindrome (11351522515311).

The spelling of 11331320202000 in words is "eleven trillion, three hundred thirty-one billion, three hundred twenty million, two hundred two thousand".