11001022131000 has 256 divisors, whose sum is σ = 37504038873600. Its totient is φ = 2662601088000.

The previous prime is 11001022130947. The next prime is 11001022131013. The reversal of 11001022131000 is 13122010011.

It is a super-2 number, since 2×11001022131000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20157724 + ... + 20696276.

It is an arithmetic number, because the mean of its divisors is an integer number (146500151850).

Almost surely, 2^{11001022131000} is an apocalyptic number.

11001022131000 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 11001022131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18752019436800).

11001022131000 is an abundant number, since it is smaller than the sum of its proper divisors (26503016742600).

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

11001022131000 is a wasteful number, since it uses less digits than its factorization.

11001022131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539207 (or 539193 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11001022131000 its reverse (13122010011), we get a palindrome (11014144141011).

The spelling of 11001022131000 in words is "eleven trillion, one billion, twenty-two million, one hundred thirty-one thousand".