13014809310720 has 960 divisors, whose sum is σ = 49103049346560. Its totient is φ = 2931813384192.

The previous prime is 13014809310719. The next prime is 13014809310749. The reversal of 13014809310720 is 2701390841031.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×13014809310720² (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 17516566669 + ... + 17516567411.

It is an arithmetic number, because the mean of its divisors is an integer number (51149009736).

Almost surely, 2^{13014809310720} is an apocalyptic number.

13014809310720 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 13014809310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24551524673280).

13014809310720 is an abundant number, since it is smaller than the sum of its proper divisors (36088240035840).

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

13014809310720 is an equidigital number, since it uses as much as digits as its factorization.

13014809310720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 13014809310720 in words is "thirteen trillion, fourteen billion, eight hundred nine million, three hundred ten thousand, seven hundred twenty".