11330013024 has 336 divisors, whose sum is σ = 37084703040. Its totient is φ = 3376961280.

The previous prime is 11330012999. The next prime is 11330013031. The reversal of 11330013024 is 42031003311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11330012988 and 11330013006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17192407 + ... + 17193065.

It is an arithmetic number, because the mean of its divisors is an integer number (110371140).

Almost surely, 2^11330013024 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 11330013024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18542351520).

11330013024 is an abundant number, since it is smaller than the sum of its proper divisors (25754690016).

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

11330013024 is an equidigital number, since it uses as much as digits as its factorization.

11330013024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11330013024 its reverse (42031003311), we get a palindrome (53361016335).

The spelling of 11330013024 in words is "eleven billion, three hundred thirty million, thirteen thousand, twenty-four".