13020100011 has 12 divisors (see below), whose sum is σ = 18810202320. Its totient is φ = 8678501520.

The previous prime is 13020100001. The next prime is 13020100019. The reversal of 13020100011 is 11000102031.

13020100011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13020100011 - 2¹¹ = 13020097963 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 = 13020099966 and 13020100002.

It is not an unprimeable number, because it can be changed into a prime (13020100019) 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 11 ways as a sum of consecutive naturals, for example, 76575 + ... + 178616.

It is an arithmetic number, because the mean of its divisors is an integer number (1567516860).

Almost surely, 2^13020100011 is an apocalyptic number.

13020100011 is a deficient number, since it is larger than the sum of its proper divisors (5790102309).

13020100011 is a wasteful number, since it uses less digits than its factorization.

13020100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260866 (or 260863 counting only the distinct ones).

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

Adding to 13020100011 its reverse (11000102031), we get a palindrome (24020202042).

The spelling of 13020100011 in words is "thirteen billion, twenty million, one hundred thousand, eleven".