13430513033120 has 96 divisors (see below), whose sum is σ = 31841489836800. Its totient is φ = 5353282169856.

The previous prime is 13430513033111. The next prime is 13430513033221. The reversal of 13430513033120 is 2133031503431.

13430513033120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73837646 + ... + 74019314.

It is an arithmetic number, because the mean of its divisors is an integer number (331682185800).

Almost surely, 2^{13430513033120} is an apocalyptic number.

13430513033120 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 13430513033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15920744918400).

13430513033120 is an abundant number, since it is smaller than the sum of its proper divisors (18410976803680).

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

13430513033120 is a wasteful number, since it uses less digits than its factorization.

13430513033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183310 (or 183302 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 29.

Adding to 13430513033120 its reverse (2133031503431), we get a palindrome (15563544536551).

The spelling of 13430513033120 in words is "thirteen trillion, four hundred thirty billion, five hundred thirteen million, thirty-three thousand, one hundred twenty".