11513330641024 has 64 divisors (see below), whose sum is σ = 24517717217280. Its totient is φ = 5372073625600.

The previous prime is 11513330641009. The next prime is 11513330641031. The reversal of 11513330641024 is 42014603331511.

11513330641024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11513330641024² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47571712 + ... + 47813119.

It is an arithmetic number, because the mean of its divisors is an integer number (383089331520).

Almost surely, 2^{11513330641024} is an apocalyptic number.

It is an amenable number.

11513330641024 is an abundant number, since it is smaller than the sum of its proper divisors (13004386576256).

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

11513330641024 is an equidigital number, since it uses as much as digits as its factorization.

11513330641024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95384909 (or 95384897 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

Adding to 11513330641024 its reverse (42014603331511), we get a palindrome (53527933972535).

The spelling of 11513330641024 in words is "eleven trillion, five hundred thirteen billion, three hundred thirty million, six hundred forty-one thousand, twenty-four".