13230165120 has 256 divisors, whose sum is σ = 45826560000. Its totient is φ = 3234263040.

The previous prime is 13230165107. The next prime is 13230165131. The reversal of 13230165120 is 2156103231.

It is a super-2 number, since 2×13230165120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 1125031 + ... + 1136729.

It is an arithmetic number, because the mean of its divisors is an integer number (179010000).

Almost surely, 2^13230165120 is an apocalyptic number.

13230165120 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 13230165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22913280000).

13230165120 is an abundant number, since it is smaller than the sum of its proper divisors (32596394880).

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

13230165120 is a wasteful number, since it uses less digits than its factorization.

13230165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11771 (or 11759 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 13230165120 its reverse (2156103231), we get a palindrome (15386268351).

The spelling of 13230165120 in words is "thirteen billion, two hundred thirty million, one hundred sixty-five thousand, one hundred twenty".