13141013201300 has 72 divisors (see below), whose sum is σ = 28813677681600. Its totient is φ = 5201547494400.

The previous prime is 13141013201227. The next prime is 13141013201317. The reversal of 13141013201300 is 310231014131.

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 23 ways as a sum of consecutive naturals, for example, 79175801 + ... + 79341599.

It is an arithmetic number, because the mean of its divisors is an integer number (400189967800).

Almost surely, 2^{13141013201300} is an apocalyptic number.

13141013201300 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 13141013201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14406838840800).

13141013201300 is an abundant number, since it is smaller than the sum of its proper divisors (15672664480300).

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

13141013201300 is a wasteful number, since it uses less digits than its factorization.

13141013201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174081 (or 174074 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13141013201300 its reverse (310231014131), we get a palindrome (13451244215431).

The spelling of 13141013201300 in words is "thirteen trillion, one hundred forty-one billion, thirteen million, two hundred one thousand, three hundred".