13052016000 has 512 divisors, whose sum is σ = 48798921600. Its totient is φ = 3471206400.

The previous prime is 13052015929. The next prime is 13052016007. The reversal of 13052016000 is 61025031.

13052016000 is a `hidden beast` number, since 13 + 0 + 52 + 0 + 1 + 600 + 0 = 666.

13052016000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13052016000³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13052016007) 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 63 ways as a sum of consecutive naturals, for example, 34991814 + ... + 34992186.

Almost surely, 2^13052016000 is an apocalyptic number.

13052016000 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 13052016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24399460800).

13052016000 is an abundant number, since it is smaller than the sum of its proper divisors (35746905600).

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

13052016000 is an frugal number, since it uses more digits than its factorization.

13052016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The spelling of 13052016000 in words is "thirteen billion, fifty-two million, sixteen thousand".