13334535000 has 240 divisors, whose sum is σ = 45988216560. Its totient is φ = 3488160000.

The previous prime is 13334534981. The next prime is 13334535007. The reversal of 13334535000 is 53543331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13334535007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2382205 + ... + 2387795.

It is an arithmetic number, because the mean of its divisors is an integer number (191617569).

Almost surely, 2^13334535000 is an apocalyptic number.

13334535000 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 13334535000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22994108280).

13334535000 is an abundant number, since it is smaller than the sum of its proper divisors (32653681560).

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

13334535000 is a wasteful number, since it uses less digits than its factorization.

13334535000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5676 (or 5654 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The spelling of 13334535000 in words is "thirteen billion, three hundred thirty-four million, five hundred thirty-five thousand".