13130330241313 has 8 divisors (see below), whose sum is σ = 13175501999400. Its totient is φ = 13085217036288.

The previous prime is 13130330241311. The next prime is 13130330241341. The reversal of 13130330241313 is 31314203303131.

13130330241313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6571696315024 + 6558633926289 = 2563532^2 + 2560983^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13130330241313 - 2¹ = 13130330241311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13130330241311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14188978 + ... + 15086011.

It is an arithmetic number, because the mean of its divisors is an integer number (1646937749925).

Almost surely, 2^{13130330241313} is an apocalyptic number.

It is an amenable number.

13130330241313 is a deficient number, since it is larger than the sum of its proper divisors (45171758087).

13130330241313 is a wasteful number, since it uses less digits than its factorization.

13130330241313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29276531.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 13130330241313 its reverse (31314203303131), we get a palindrome (44444533544444).

The spelling of 13130330241313 in words is "thirteen trillion, one hundred thirty billion, three hundred thirty million, two hundred forty-one thousand, three hundred thirteen".