13300349829000 has 256 divisors, whose sum is σ = 45301365607680. Its totient is φ = 3229083187200.

The previous prime is 13300349828971. The next prime is 13300349829031. The reversal of 13300349829000 is 92894300331.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 511147 + ... + 5182853.

It is an arithmetic number, because the mean of its divisors is an integer number (176958459405).

Almost surely, 2^{13300349829000} is an apocalyptic number.

13300349829000 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 13300349829000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22650682803840).

13300349829000 is an abundant number, since it is smaller than the sum of its proper divisors (32001015778680).

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

13300349829000 is a wasteful number, since it uses less digits than its factorization.

13300349829000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671817 (or 4671803 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 13300349829000 in words is "thirteen trillion, three hundred billion, three hundred forty-nine million, eight hundred twenty-nine thousand".