11101113000 has 192 divisors, whose sum is σ = 38816528400. Its totient is φ = 2858150400.

The previous prime is 11101112987. The next prime is 11101113011. The reversal of 11101113000 is 31110111.

It can be written as a sum of positive squares in 8 ways, for example, as 100040004 + 11001072996 = 10002^2 + 104886^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239734 + ... + 282266.

Almost surely, 2^11101113000 is an apocalyptic number.

11101113000 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 11101113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19408264200).

11101113000 is an abundant number, since it is smaller than the sum of its proper divisors (27715415400).

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

11101113000 is a wasteful number, since it uses less digits than its factorization.

11101113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42589 (or 42572 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 11101113000 its reverse (31110111), we get a palindrome (11132223111).

It can be divided in two parts, 1110111 and 3000, that added together give a palindrome (1113111).

The spelling of 11101113000 in words is "eleven billion, one hundred one million, one hundred thirteen thousand".