11001158921130 has 768 divisors, whose sum is σ = 34410247372800. Its totient is φ = 2234202808320.

The previous prime is 11001158921119. The next prime is 11001158921131. The reversal of 11001158921130 is 3112985110011.

It is a junction number, because it is equal to n+sod(n) for n = 11001158921091 and 11001158921100.

It is not an unprimeable number, because it can be changed into a prime (11001158921131) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 10796033761 + ... + 10796034779.

It is an arithmetic number, because the mean of its divisors is an integer number (44805009600).

Almost surely, 2^{11001158921130} is an apocalyptic number.

11001158921130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001158921130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17205123686400).

11001158921130 is an abundant number, since it is smaller than the sum of its proper divisors (23409088451670).

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

11001158921130 is a wasteful number, since it uses less digits than its factorization.

11001158921130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 33.

The spelling of 11001158921130 in words is "eleven trillion, one billion, one hundred fifty-eight million, nine hundred twenty-one thousand, one hundred thirty".