11001000100013 has 8 divisors (see below), whose sum is σ = 13715532592320. Its totient is φ = 8572207870080.

The previous prime is 11001000100009. The next prime is 11001000100049. The reversal of 11001000100013 is 31000100010011.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11001000100013 - 2² = 11001000100009 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001000100213) by changing a digit.

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, 71435065508 + ... + 71435065661.

It is an arithmetic number, because the mean of its divisors is an integer number (1714441574040).

Almost surely, 2^{11001000100013} is an apocalyptic number.

It is an amenable number.

11001000100013 is a deficient number, since it is larger than the sum of its proper divisors (2714532492307).

11001000100013 is a wasteful number, since it uses less digits than its factorization.

11001000100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142870131187.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 11001000100013 its reverse (31000100010011), we get a palindrome (42001100110024).

The spelling of 11001000100013 in words is "eleven trillion, one billion, one hundred thousand, thirteen".