13123116 has 72 divisors (see below), whose sum is σ = 36049104. Its totient is φ = 4008960.

The previous prime is 13123111. The next prime is 13123147. The reversal of 13123116 is 61132131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13123111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24831 + ... + 25353.

It is an arithmetic number, because the mean of its divisors is an integer number (500682).

Almost surely, 2^13123116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18024552).

13123116 is an abundant number, since it is smaller than the sum of its proper divisors (22925988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13123116 is a wasteful number, since it uses less digits than its factorization.

13123116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 586 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 13123116 is about 3622.5841605130. The cubic root of 13123116 is about 235.8734119545.

Adding to 13123116 its reverse (61132131), we get a palindrome (74255247).

The spelling of 13123116 in words is "thirteen million, one hundred twenty-three thousand, one hundred sixteen".