13150509120 has 336 divisors, whose sum is σ = 54736276608. Its totient is φ = 2828943360.

The previous prime is 13150509107. The next prime is 13150509167. The reversal of 13150509120 is 2190505131.

13150509120 is a `hidden beast` number, since 1 + 3 + 150 + 509 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323535 + ... + 361905.

Almost surely, 2^13150509120 is an apocalyptic number.

13150509120 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 13150509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27368138304).

13150509120 is an abundant number, since it is smaller than the sum of its proper divisors (41585767488).

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

13150509120 is a wasteful number, since it uses less digits than its factorization.

13150509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38418 (or 38405 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The spelling of 13150509120 in words is "thirteen billion, one hundred fifty million, five hundred nine thousand, one hundred twenty".