13001020011 has 72 divisors (see below), whose sum is σ = 23182511040. Its totient is φ = 6976359936.

The previous prime is 13001020001. The next prime is 13001020061. The reversal of 13001020011 is 11002010031.

It is not a de Polignac number, because 13001020011 - 2⁵ = 13001019979 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 = 13001019975 and 13001020002.

It is not an unprimeable number, because it can be changed into a prime (13001020001) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3814270 + ... + 3817676.

It is an arithmetic number, because the mean of its divisors is an integer number (321979320).

Almost surely, 2^13001020011 is an apocalyptic number.

13001020011 is a deficient number, since it is larger than the sum of its proper divisors (10181491029).

13001020011 is a wasteful number, since it uses less digits than its factorization.

13001020011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3953 (or 3943 counting only the distinct ones).

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

Adding to 13001020011 its reverse (11002010031), we get a palindrome (24003030042).

The spelling of 13001020011 in words is "thirteen billion, one million, twenty thousand, eleven".