11131321121000 has 128 divisors (see below), whose sum is σ = 26383833216000. Its totient is φ = 4395029184000.

The previous prime is 11131321120991. The next prime is 11131321121027. The reversal of 11131321121000 is 12112313111.

It is a self number, because there is not a number n which added to its sum of digits gives 11131321121000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346872956 + ... + 346905044.

It is an arithmetic number, because the mean of its divisors is an integer number (206123697000).

Almost surely, 2^{11131321121000} is an apocalyptic number.

11131321121000 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 11131321121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13191916608000).

11131321121000 is an abundant number, since it is smaller than the sum of its proper divisors (15252512095000).

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

11131321121000 is a wasteful number, since it uses less digits than its factorization.

11131321121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36580 (or 36566 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 11131321121000 its reverse (12112313111), we get a palindrome (11143433434111).

The spelling of 11131321121000 in words is "eleven trillion, one hundred thirty-one billion, three hundred twenty-one million, one hundred twenty-one thousand".