13430311420020 has 384 divisors, whose sum is σ = 42201188628480. Its totient is φ = 3163069440000.

The previous prime is 13430311419947. The next prime is 13430311420033. The reversal of 13430311420020 is 2002411303431.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8505579591 + ... + 8505581169.

It is an arithmetic number, because the mean of its divisors is an integer number (109898928720).

Almost surely, 2^{13430311420020} is an apocalyptic number.

13430311420020 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 13430311420020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21100594314240).

13430311420020 is an abundant number, since it is smaller than the sum of its proper divisors (28770877208460).

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

13430311420020 is a wasteful number, since it uses less digits than its factorization.

13430311420020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13430311420020 its reverse (2002411303431), we get a palindrome (15432722723451).

The spelling of 13430311420020 in words is "thirteen trillion, four hundred thirty billion, three hundred eleven million, four hundred twenty thousand, twenty".