13027033008 has 400 divisors, whose sum is σ = 42779404800. Its totient is φ = 3792821760.

The previous prime is 13027032989. The next prime is 13027033009. The reversal of 13027033008 is 80033072031.

13027033008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (13027033009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48427498 + ... + 48427766.

It is an arithmetic number, because the mean of its divisors is an integer number (106948512).

Almost surely, 2^13027033008 is an apocalyptic number.

13027033008 is a gapful number since it is divisible by the number (18) 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 13027033008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21389702400).

13027033008 is an abundant number, since it is smaller than the sum of its proper divisors (29752371792).

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

13027033008 is a wasteful number, since it uses less digits than its factorization.

13027033008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 13027033008 in words is "thirteen billion, twenty-seven million, thirty-three thousand, eight".