13356000000 has 756 divisors, whose sum is σ = 56049595056. Its totient is φ = 2995200000.

The previous prime is 13355999939. The next prime is 13356000061. The reversal of 13356000000 is 65331.

It is an interprime number because it is at equal distance from previous prime (13355999939) and next prime (13356000061).

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

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 83 ways as a sum of consecutive naturals, for example, 251999974 + ... + 252000026.

It is an arithmetic number, because the mean of its divisors is an integer number (74139676).

Almost surely, 2^13356000000 is an apocalyptic number.

13356000000 is a gapful number since it is divisible by the number (10) 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 13356000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28024797528).

13356000000 is an abundant number, since it is smaller than the sum of its proper divisors (42693595056).

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

13356000000 is an frugal number, since it uses more digits than its factorization.

13356000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 13356000000 its reverse (65331), we get a palindrome (13356065331).

The spelling of 13356000000 in words is "thirteen billion, three hundred fifty-six million", and thus it is an aban number.