13305710062000 has 80 divisors (see below), whose sum is σ = 32188677453504. Its totient is φ = 5319724800000.

The previous prime is 13305710061971. The next prime is 13305710062019. The reversal of 13305710062000 is 26001750331.

13305710062000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13305710062000.

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, 2563525 + ... + 5760475.

Almost surely, 2^{13305710062000} is an apocalyptic number.

13305710062000 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 13305710062000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16094338726752).

13305710062000 is an abundant number, since it is smaller than the sum of its proper divisors (18882967391504).

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

13305710062000 is a wasteful number, since it uses less digits than its factorization.

13305710062000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3199055 (or 3199039 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The spelling of 13305710062000 in words is "thirteen trillion, three hundred five billion, seven hundred ten million, sixty-two thousand".