13001743080 has 256 divisors, whose sum is σ = 43950816000. Its totient is φ = 3418619904.

The previous prime is 13001743067. The next prime is 13001743091. The reversal of 13001743080 is 8034710031.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 38580672 + ... + 38581008.

It is an arithmetic number, because the mean of its divisors is an integer number (171682875).

Almost surely, 2^13001743080 is an apocalyptic number.

13001743080 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 13001743080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21975408000).

13001743080 is an abundant number, since it is smaller than the sum of its proper divisors (30949072920).

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

13001743080 is a wasteful number, since it uses less digits than its factorization.

13001743080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 13001743080 in words is "thirteen billion, one million, seven hundred forty-three thousand, eighty".