13001111121011 has 16 divisors (see below), whose sum is σ = 14945680592640. Its totient is φ = 11209260414240.

The previous prime is 13001111120989. The next prime is 13001111121059. The reversal of 13001111121011 is 11012111110031.

It is a cyclic number.

It is not a de Polignac number, because 13001111121011 - 2²⁶ = 13001044012147 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13001111151011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370659065 + ... + 370694138.

It is an arithmetic number, because the mean of its divisors is an integer number (934105037040).

Almost surely, 2^{13001111121011} is an apocalyptic number.

13001111121011 is a deficient number, since it is larger than the sum of its proper divisors (1944569471629).

13001111121011 is a wasteful number, since it uses less digits than its factorization.

13001111121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741353306.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 13001111121011 its reverse (11012111110031), we get a palindrome (24013222231042).

The spelling of 13001111121011 in words is "thirteen trillion, one billion, one hundred eleven million, one hundred twenty-one thousand, eleven".