13123296 has 120 divisors (see below), whose sum is σ = 39700584. Its totient is φ = 4250880.

The previous prime is 13123289. The next prime is 13123301. The reversal of 13123296 is 69232131.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 158071 + ... + 158153.

Almost surely, 2^13123296 is an apocalyptic number.

13123296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19850292).

13123296 is an abundant number, since it is smaller than the sum of its proper divisors (26577288).

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

13123296 is an equidigital number, since it uses as much as digits as its factorization.

13123296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 13123296 is about 3622.6090045712. The cubic root of 13123296 is about 235.8744903829.

It can be divided in two parts, 131232 and 96, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 13123296 in words is "thirteen million, one hundred twenty-three thousand, two hundred ninety-six".