13413130120 has 64 divisors (see below), whose sum is σ = 32552558640. Its totient is φ = 4944691200.

The previous prime is 13413130117. The next prime is 13413130153. The reversal of 13413130120 is 2103131431.

It can be written as a sum of positive squares in 8 ways, for example, as 3064951044 + 10348179076 = 55362^2 + 101726^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313200 + ... + 353440.

Almost surely, 2^13413130120 is an apocalyptic number.

13413130120 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 13413130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16276279320).

13413130120 is an abundant number, since it is smaller than the sum of its proper divisors (19139428520).

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

13413130120 is a wasteful number, since it uses less digits than its factorization.

13413130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40906 (or 40902 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13413130120 its reverse (2103131431), we get a palindrome (15516261551).

The spelling of 13413130120 in words is "thirteen billion, four hundred thirteen million, one hundred thirty thousand, one hundred twenty".