13358965120 has 64 divisors (see below), whose sum is σ = 32003683200. Its totient is φ = 5332307968.

The previous prime is 13358965093. The next prime is 13358965127. The reversal of 13358965120 is 2156985331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×13358965120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13358965127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 284772 + ... + 328348.

It is an arithmetic number, because the mean of its divisors is an integer number (500057550).

Almost surely, 2^13358965120 is an apocalyptic number.

13358965120 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 13358965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16001841600).

13358965120 is an abundant number, since it is smaller than the sum of its proper divisors (18644718080).

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

13358965120 is an equidigital number, since it uses as much as digits as its factorization.

13358965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44075 (or 44063 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 13358965120 in words is "thirteen billion, three hundred fifty-eight million, nine hundred sixty-five thousand, one hundred twenty".