11101310011000 has 128 divisors (see below), whose sum is σ = 28340590599360. Its totient is φ = 4036558848000.

The previous prime is 11101310010977. The next prime is 11101310011003. The reversal of 11101310011000 is 11001310111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101310011003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221217912 + ... + 221268088.

Almost surely, 2^{11101310011000} is an apocalyptic number.

11101310011000 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 11101310011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14170295299680).

11101310011000 is an abundant number, since it is smaller than the sum of its proper divisors (17239280588360).

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

11101310011000 is a wasteful number, since it uses less digits than its factorization.

11101310011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70322 (or 70308 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 11101310011000 its reverse (11001310111), we get a palindrome (11112311321111).

The spelling of 11101310011000 in words is "eleven trillion, one hundred one billion, three hundred ten million, eleven thousand".