11131040032 has 96 divisors (see below), whose sum is σ = 25261891200. Its totient is φ = 4729325568.

The previous prime is 11131039993. The next prime is 11131040069. The reversal of 11131040032 is 23004013111.

It is a super-2 number, since 2×11131040032² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11131039988 and 11131040015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21868194 + ... + 21868702.

It is an arithmetic number, because the mean of its divisors is an integer number (263144700).

Almost surely, 2^11131040032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11131040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12630945600).

11131040032 is an abundant number, since it is smaller than the sum of its proper divisors (14130851168).

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

11131040032 is a wasteful number, since it uses less digits than its factorization.

11131040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11131040032 its reverse (23004013111), we get a palindrome (34135053143).

The spelling of 11131040032 in words is "eleven billion, one hundred thirty-one million, forty thousand, thirty-two".