13201424305000 has 80 divisors (see below), whose sum is σ = 30944977937280. Its totient is φ = 5278172664000.

The previous prime is 13201424304983. The next prime is 13201424305061. The reversal of 13201424305000 is 50342410231.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10436839 + ... + 11633161.

It is an arithmetic number, because the mean of its divisors is an integer number (386812224216).

Almost surely, 2^{13201424305000} is an apocalyptic number.

13201424305000 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 13201424305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15472488968640).

13201424305000 is an abundant number, since it is smaller than the sum of its proper divisors (17743553632280).

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

13201424305000 is a wasteful number, since it uses less digits than its factorization.

13201424305000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198556 (or 1198537 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 13201424305000 its reverse (50342410231), we get a palindrome (13251766715231).

The spelling of 13201424305000 in words is "thirteen trillion, two hundred one billion, four hundred twenty-four million, three hundred five thousand".