13279319820 has 480 divisors, whose sum is σ = 49177497600. Its totient is φ = 2968068096.

The previous prime is 13279319761. The next prime is 13279319827. The reversal of 13279319820 is 2891397231.

13279319820 is a `hidden beast` number, since 1 + 327 + 9 + 319 + 8 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13279319827) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10381941 + ... + 10383219.

It is an arithmetic number, because the mean of its divisors is an integer number (102453120).

Almost surely, 2^13279319820 is an apocalyptic number.

13279319820 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 13279319820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24588748800).

13279319820 is an abundant number, since it is smaller than the sum of its proper divisors (35898177780).

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

13279319820 is a wasteful number, since it uses less digits than its factorization.

13279319820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 13279319820 in words is "thirteen billion, two hundred seventy-nine million, three hundred nineteen thousand, eight hundred twenty".