13358073120 has 384 divisors, whose sum is σ = 51250268160. Its totient is φ = 2856591360.

The previous prime is 13358073089. The next prime is 13358073133. The reversal of 13358073120 is 2137085331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5297460 + ... + 5299980.

It is an arithmetic number, because the mean of its divisors is an integer number (133464240).

Almost surely, 2^13358073120 is an apocalyptic number.

13358073120 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 13358073120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25625134080).

13358073120 is an abundant number, since it is smaller than the sum of its proper divisors (37892195040).

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

13358073120 is a wasteful number, since it uses less digits than its factorization.

13358073120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 13358073120 in words is "thirteen billion, three hundred fifty-eight million, seventy-three thousand, one hundred twenty".