13059075120 has 320 divisors, whose sum is σ = 50514100224. Its totient is φ = 2717245440.

The previous prime is 13059075083. The next prime is 13059075121. The reversal of 13059075120 is 2157095031.

It is not an unprimeable number, because it can be changed into a prime (13059075121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1590225 + ... + 1598415.

Almost surely, 2^13059075120 is an apocalyptic number.

13059075120 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 13059075120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25257050112).

13059075120 is an abundant number, since it is smaller than the sum of its proper divisors (37455025104).

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

13059075120 is a wasteful number, since it uses less digits than its factorization.

13059075120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8300 (or 8294 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The spelling of 13059075120 in words is "thirteen billion, fifty-nine million, seventy-five thousand, one hundred twenty".