13205304131430 has 64 divisors (see below), whose sum is σ = 32381142266880. Its totient is φ = 3444989447424.

The previous prime is 13205304131413. The next prime is 13205304131431. The reversal of 13205304131430 is 3413140350231.

It is a happy number.

13205304131430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13205304131431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1200141 + ... + 5277399.

It is an arithmetic number, because the mean of its divisors is an integer number (505955347920).

Almost surely, 2^{13205304131430} is an apocalyptic number.

13205304131430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13205304131430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16190571133440).

13205304131430 is an abundant number, since it is smaller than the sum of its proper divisors (19175838135450).

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

13205304131430 is a wasteful number, since it uses less digits than its factorization.

13205304131430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4079613.

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 13205304131430 its reverse (3413140350231), we get a palindrome (16618444481661).

The spelling of 13205304131430 in words is "thirteen trillion, two hundred five billion, three hundred four million, one hundred thirty-one thousand, four hundred thirty".