11131002000000 has 672 divisors, whose sum is σ = 40152423542400. Its totient is φ = 2959776000000.

The previous prime is 11131001999969. The next prime is 11131002000007. The reversal of 11131002000000 is 20013111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11131002000007) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8621999355 + ... + 8622000645.

Almost surely, 2^{11131002000000} is an apocalyptic number.

11131002000000 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 11131002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20076211771200).

11131002000000 is an abundant number, since it is smaller than the sum of its proper divisors (29021421542400).

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

11131002000000 is an frugal number, since it uses more digits than its factorization.

11131002000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11131002000000 its reverse (20013111), we get a palindrome (11131022013111).

The spelling of 11131002000000 in words is "eleven trillion, one hundred thirty-one billion, two million", and thus it is an aban number.