11040013000 has 64 divisors (see below), whose sum is σ = 26160825600. Its totient is φ = 4360075200.

The previous prime is 11040012979. The next prime is 11040013013. The reversal of 11040013000 is 31004011.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9127 + ... + 148873.

It is an arithmetic number, because the mean of its divisors is an integer number (408762900).

Almost surely, 2^11040013000 is an apocalyptic number.

11040013000 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 11040013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13080412800).

11040013000 is an abundant number, since it is smaller than the sum of its proper divisors (15120812600).

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

11040013000 is a wasteful number, since it uses less digits than its factorization.

11040013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139847 (or 139833 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11040013000 its reverse (31004011), we get a palindrome (11071017011).

The spelling of 11040013000 in words is "eleven billion, forty million, thirteen thousand".