13112273791 has 16 divisors (see below), whose sum is σ = 14049119520. Its totient is φ = 12194012160.

The previous prime is 13112273767. The next prime is 13112273827. The reversal of 13112273791 is 19737221131.

It is a 10-Lehmer number, since φ(13112273791) divides (13112273791-1)¹⁰.

It is a cyclic number.

It is not a de Polignac number, because 13112273791 - 2¹³ = 13112265599 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13112273791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112273731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4411936 + ... + 4414906.

It is an arithmetic number, because the mean of its divisors is an integer number (878069970).

It is the magic constant of a 2971 × 2971 magic square.

Almost surely, 2^13112273791 is an apocalyptic number.

13112273791 is a deficient number, since it is larger than the sum of its proper divisors (936845729).

13112273791 is a wasteful number, since it uses less digits than its factorization.

13112273791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994.

The product of its digits is 15876, while the sum is 37.

It can be divided in two parts, 13112 and 273791, that added together give a triangular number (286903 = T₇₅₇).

The spelling of 13112273791 in words is "thirteen billion, one hundred twelve million, two hundred seventy-three thousand, seven hundred ninety-one".