11131020000 has 300 divisors, whose sum is σ = 40912884936. Its totient is φ = 2967840000.

The previous prime is 11131019927. The next prime is 11131020001. The reversal of 11131020000 is 2013111.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131020001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 1616565 + ... + 1623435.

Almost surely, 2^11131020000 is an apocalyptic number.

11131020000 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 11131020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20456442468).

11131020000 is an abundant number, since it is smaller than the sum of its proper divisors (29781864936).

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

11131020000 is an frugal number, since it uses more digits than its factorization.

11131020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6913 (or 6881 counting only the distinct ones).

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

Adding to 11131020000 its reverse (2013111), we get a palindrome (11133033111).

The spelling of 11131020000 in words is "eleven billion, one hundred thirty-one million, twenty thousand".