11513405000000 has 112 divisors (see below), whose sum is σ = 28558580600784. Its totient is φ = 4605360000000.

The previous prime is 11513404999997. The next prime is 11513405000087. The reversal of 11513405000000 is 50431511.

It can be written as a sum of positive squares in 8 ways, for example, as 11015070658816 + 498334341184 = 3318896^2 + 705928^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 3848660 + ... + 6151340.

Almost surely, 2^{11513405000000} is an apocalyptic number.

11513405000000 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 11513405000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14279290300392).

11513405000000 is an abundant number, since it is smaller than the sum of its proper divisors (17045175600784).

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

11513405000000 is an frugal number, since it uses more digits than its factorization.

11513405000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302728 (or 2302688 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 11513405000000 its reverse (50431511), we get a palindrome (11513455431511).

The spelling of 11513405000000 in words is "eleven trillion, five hundred thirteen billion, four hundred five million", and thus it is an aban number.