11313002024000 has 56 divisors (see below), whose sum is σ = 28016649532248. Its totient is φ = 4525200806400.

The previous prime is 11313002023993. The next prime is 11313002024017. The reversal of 11313002024000 is 42020031311.

It can be written as a sum of positive squares in 4 ways, for example, as 2372079616 + 11310629944384 = 48704^2 + 3363128^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11313002024000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 707054627 + ... + 707070626.

Almost surely, 2^{11313002024000} is an apocalyptic number.

11313002024000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11313002024000 is an abundant number, since it is smaller than the sum of its proper divisors (16703647508248).

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

11313002024000 is an equidigital number, since it uses as much as digits as its factorization.

11313002024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414125280 (or 1414125260 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 11313002024000 its reverse (42020031311), we get a palindrome (11355022055311).

The spelling of 11313002024000 in words is "eleven trillion, three hundred thirteen billion, two million, twenty-four thousand".