13320409830 has 128 divisors (see below), whose sum is σ = 39467990016. Its totient is φ = 2801779200.

The previous prime is 13320409807. The next prime is 13320409841. The reversal of 13320409830 is 3890402331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13320409791 and 13320409800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 896260 + ... + 911000.

It is an arithmetic number, because the mean of its divisors is an integer number (308343672).

Almost surely, 2^13320409830 is an apocalyptic number.

13320409830 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 13320409830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19733995008).

13320409830 is an abundant number, since it is smaller than the sum of its proper divisors (26147580186).

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

13320409830 is a wasteful number, since it uses less digits than its factorization.

13320409830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15102.

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 13320409830 in words is "thirteen billion, three hundred twenty million, four hundred nine thousand, eight hundred thirty".