11000130001300 has 108 divisors (see below), whose sum is σ = 26290177564000. Its totient is φ = 3992028955200.

The previous prime is 11000130001297. The next prime is 11000130001321. The reversal of 11000130001300 is 310003100011.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5126977 + ... + 6948823.

Almost surely, 2^{11000130001300} is an apocalyptic number.

11000130001300 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 11000130001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13145088782000).

11000130001300 is an abundant number, since it is smaller than the sum of its proper divisors (15290047562700).

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

11000130001300 is a wasteful number, since it uses less digits than its factorization.

11000130001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822382 (or 1822364 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 11000130001300 its reverse (310003100011), we get a palindrome (11310133101311).

The spelling of 11000130001300 in words is "eleven trillion, one hundred thirty million, one thousand, three hundred".