13130220313 has 16 divisors (see below), whose sum is σ = 16063488000. Its totient is φ = 10481413392.

The previous prime is 13130220287. The next prime is 13130220329. The reversal of 13130220313 is 31302203131.

13130220313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13130220313 - 2¹⁷ = 13130089241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (13130220353) 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, 828793 + ... + 844486.

It is an arithmetic number, because the mean of its divisors is an integer number (1003968000).

Almost surely, 2^13130220313 is an apocalyptic number.

It is an amenable number.

13130220313 is a deficient number, since it is larger than the sum of its proper divisors (2933267687).

13130220313 is a wasteful number, since it uses less digits than its factorization.

13130220313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673364.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13130220313 its reverse (31302203131), we get a palindrome (44432423444).

The spelling of 13130220313 in words is "thirteen billion, one hundred thirty million, two hundred twenty thousand, three hundred thirteen".