13028138496 has 300 divisors, whose sum is σ = 41345502528. Its totient is φ = 4083499008.

The previous prime is 13028138491. The next prime is 13028138521. The reversal of 13028138496 is 69483182031.

13028138496 is a `hidden beast` number, since 1 + 3 + 0 + 28 + 138 + 496 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13028138491) 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 29 ways as a sum of consecutive naturals, for example, 11984865 + ... + 11985951.

Almost surely, 2^13028138496 is an apocalyptic number.

13028138496 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 13028138496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20672751264).

13028138496 is an abundant number, since it is smaller than the sum of its proper divisors (28317364032).

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

13028138496 is an equidigital number, since it uses as much as digits as its factorization.

13028138496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 13028138496 in words is "thirteen billion, twenty-eight million, one hundred thirty-eight thousand, four hundred ninety-six".