13001003301011 has 32 divisors (see below), whose sum is σ = 14710270713600. Its totient is φ = 11388169054080.

The previous prime is 13001003300963. The next prime is 13001003301043. The reversal of 13001003301011 is 11010330010031.

It is a happy number.

13001003301011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13001003301011 - 2⁶ = 13001003300947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13001003300011) 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, 9692525 + ... + 10952033.

It is an arithmetic number, because the mean of its divisors is an integer number (459695959800).

Almost surely, 2^{13001003301011} is an apocalyptic number.

13001003301011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13001003301011 is a deficient number, since it is larger than the sum of its proper divisors (1709267412589).

13001003301011 is a wasteful number, since it uses less digits than its factorization.

13001003301011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259859.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 13001003301011 its reverse (11010330010031), we get a palindrome (24011333311042).

The spelling of 13001003301011 in words is "thirteen trillion, one billion, three million, three hundred one thousand, eleven".