11101130040 has 384 divisors, whose sum is σ = 44967052800. Its totient is φ = 2128988160.

The previous prime is 11101130011. The next prime is 11101130059. The reversal of 11101130040 is 4003110111.

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

It is a junction number, because it is equal to n+sod(n) for n = 11101129998 and 11101130025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1558006 + ... + 1565114.

It is an arithmetic number, because the mean of its divisors is an integer number (117101700).

Almost surely, 2^11101130040 is an apocalyptic number.

11101130040 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 11101130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22483526400).

11101130040 is an abundant number, since it is smaller than the sum of its proper divisors (33865922760).

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

11101130040 is a wasteful number, since it uses less digits than its factorization.

11101130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7167 (or 7150 counting only the distinct ones).

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

Adding to 11101130040 its reverse (4003110111), we get a palindrome (15104240151).

It can be divided in two parts, 11101 and 130040, that added together give a palindrome (141141).

The spelling of 11101130040 in words is "eleven billion, one hundred one million, one hundred thirty thousand, forty".