11331131102000 has 320 divisors, whose sum is σ = 29052224038656. Its totient is φ = 4265577676800.

The previous prime is 11331131101889. The next prime is 11331131102041. The reversal of 11331131102000 is 20113113311.

It is a self number, because there is not a number n which added to its sum of digits gives 11331131102000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1454010104 + ... + 1454017896.

Almost surely, 2^{11331131102000} is an apocalyptic number.

11331131102000 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 11331131102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14526112019328).

11331131102000 is an abundant number, since it is smaller than the sum of its proper divisors (17721092936656).

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

11331131102000 is a wasteful number, since it uses less digits than its factorization.

11331131102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8345 (or 8329 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 11331131102000 its reverse (20113113311), we get a palindrome (11351244215311).

The spelling of 11331131102000 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, one hundred two thousand".