11200000100013 has 32 divisors (see below), whose sum is σ = 16839329760000. Its totient is φ = 7448046033600.

The previous prime is 11200000099991. The next prime is 11200000100021. The reversal of 11200000100013 is 31000100000211.

It is not a de Polignac number, because 11200000100013 - 2⁹ = 11200000099501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11200000099968 and 11200000100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200000100033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5508513 + ... + 7262486.

It is an arithmetic number, because the mean of its divisors is an integer number (526229055000).

Almost surely, 2^{11200000100013} is an apocalyptic number.

It is an amenable number.

11200000100013 is a deficient number, since it is larger than the sum of its proper divisors (5639329659987).

11200000100013 is an frugal number, since it uses more digits than its factorization.

11200000100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12771421 (or 12771403 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11200000100013 its reverse (31000100000211), we get a palindrome (42200100100224).

The spelling of 11200000100013 in words is "eleven trillion, two hundred billion, one hundred thousand, thirteen".