13123121011013 has 16 divisors (see below), whose sum is σ = 14876928635520. Its totient is φ = 11475691454016.

The previous prime is 13123121010941. The next prime is 13123121011057. The reversal of 13123121011013 is 31011012132131.

It is a cyclic number.

It is not a de Polignac number, because 13123121011013 - 2²⁰ = 13123119962437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123121611013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6326831 + ... + 8140947.

It is an arithmetic number, because the mean of its divisors is an integer number (929808039720).

Almost surely, 2^{13123121011013} is an apocalyptic number.

13123121011013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13123121011013 is a deficient number, since it is larger than the sum of its proper divisors (1753807624507).

13123121011013 is a wasteful number, since it uses less digits than its factorization.

13123121011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843436.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 13123121011013 its reverse (31011012132131), we get a palindrome (44134133143144).

The spelling of 13123121011013 in words is "thirteen trillion, one hundred twenty-three billion, one hundred twenty-one million, eleven thousand, thirteen".