13130220414304 has 48 divisors (see below), whose sum is σ = 30827474028288. Its totient is φ = 5382574826112.

The previous prime is 13130220414287. The next prime is 13130220414313. The reversal of 13130220414304 is 40341402203131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1274278662 + ... + 1274288965.

It is an arithmetic number, because the mean of its divisors is an integer number (642239042256).

Almost surely, 2^{13130220414304} is an apocalyptic number.

13130220414304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13130220414304 is an abundant number, since it is smaller than the sum of its proper divisors (17697253613984).

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

13130220414304 is a wasteful number, since it uses less digits than its factorization.

13130220414304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548567667 (or 2548567659 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13130220414304 its reverse (40341402203131), we get a palindrome (53471622617435).

The spelling of 13130220414304 in words is "thirteen trillion, one hundred thirty billion, two hundred twenty million, four hundred fourteen thousand, three hundred four".