13105301330000 has 200 divisors, whose sum is σ = 36118673274816. Its totient is φ = 4558364800000.

The previous prime is 13105301329997. The next prime is 13105301330027. The reversal of 13105301330000 is 3310350131.

It is a tau number, because it is divible by the number of its divisors (200).

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 39 ways as a sum of consecutive naturals, for example, 59981 + ... + 5119980.

Almost surely, 2^{13105301330000} is an apocalyptic number.

13105301330000 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 13105301330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18059336637408).

13105301330000 is an abundant number, since it is smaller than the sum of its proper divisors (23013371944816).

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

13105301330000 is a wasteful number, since it uses less digits than its factorization.

13105301330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5180023 (or 5180002 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 20.

Adding to 13105301330000 its reverse (3310350131), we get a palindrome (13108611680131).

The spelling of 13105301330000 in words is "thirteen trillion, one hundred five billion, three hundred one million, three hundred thirty thousand".