13330314002000 has 80 divisors (see below), whose sum is σ = 32234768576400. Its totient is φ = 5331783283200.

The previous prime is 13330314001999. The next prime is 13330314002021. The reversal of 13330314002000 is 20041303331.

13330314002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6190024576576 + 7140289425424 = 2487976^2 + 2672132^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32172146 + ... + 32583854.

It is an arithmetic number, because the mean of its divisors is an integer number (402934607205).

Almost surely, 2^{13330314002000} is an apocalyptic number.

13330314002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13330314002000 is an abundant number, since it is smaller than the sum of its proper divisors (18904454574400).

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

13330314002000 is a wasteful number, since it uses less digits than its factorization.

13330314002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427921 (or 427905 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13330314002000 its reverse (20041303331), we get a palindrome (13350355305331).

The spelling of 13330314002000 in words is "thirteen trillion, three hundred thirty billion, three hundred fourteen million, two thousand".