13141430120 has 64 divisors (see below), whose sum is σ = 36391662720. Its totient is φ = 4159044864.

The previous prime is 13141430101. The next prime is 13141430129. The reversal of 13141430120 is 2103414131.

13141430120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13141430120³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13141430092 and 13141430101.

It is not an unprimeable number, because it can be changed into a prime (13141430129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1801502 + ... + 1808781.

It is an arithmetic number, because the mean of its divisors is an integer number (568619730).

Almost surely, 2^13141430120 is an apocalyptic number.

13141430120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13141430120 is an abundant number, since it is smaller than the sum of its proper divisors (23250232600).

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

13141430120 is a wasteful number, since it uses less digits than its factorization.

13141430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610314 (or 3610310 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13141430120 its reverse (2103414131), we get a palindrome (15244844251).

The spelling of 13141430120 in words is "thirteen billion, one hundred forty-one million, four hundred thirty thousand, one hundred twenty".