13013023111121 has 32 divisors (see below), whose sum is σ = 15754946715648. Its totient is φ = 10602285661440.

The previous prime is 13013023110959. The next prime is 13013023111133. The reversal of 13013023111121 is 12111132031031.

It is not a de Polignac number, because 13013023111121 - 2¹⁴ = 13013023094737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13013023111093 and 13013023111102.

It is not an unprimeable number, because it can be changed into a prime (13013043111121) 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, 5824691 + ... + 7742936.

It is an arithmetic number, because the mean of its divisors is an integer number (492342084864).

Almost surely, 2^{13013023111121} is an apocalyptic number.

13013023111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13013023111121 is a deficient number, since it is larger than the sum of its proper divisors (2741923604527).

13013023111121 is a wasteful number, since it uses less digits than its factorization.

13013023111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13567901.

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

Adding to 13013023111121 its reverse (12111132031031), we get a palindrome (25124155142152).

The spelling of 13013023111121 in words is "thirteen trillion, thirteen billion, twenty-three million, one hundred eleven thousand, one hundred twenty-one".