130010101313 has 4 divisors (see below), whose sum is σ = 130012383060. Its totient is φ = 130007819568.

The previous prime is 130010101267. The next prime is 130010101373. The reversal of 130010101313 is 313101010031.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 116450197504 + 13559903809 = 341248^2 + 116447^2 .

It is a cyclic number.

It is not a de Polignac number, because 130010101313 - 2²⁶ = 129942992449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130010101373) 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 3 ways as a sum of consecutive naturals, for example, 1053158 + ... + 1170111.

It is an arithmetic number, because the mean of its divisors is an integer number (32503095765).

Almost surely, 2^130010101313 is an apocalyptic number.

It is an amenable number.

130010101313 is a deficient number, since it is larger than the sum of its proper divisors (2281747).

130010101313 is an equidigital number, since it uses as much as digits as its factorization.

130010101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281746.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 130010101313 its reverse (313101010031), we get a palindrome (443111111344).

The spelling of 130010101313 in words is "one hundred thirty billion, ten million, one hundred one thousand, three hundred thirteen".