130313320230213 has 24 divisors (see below), whose sum is σ = 188642373976056. Its totient is φ = 86685390000000.

The previous prime is 130313320230209. The next prime is 130313320230241. The reversal of 130313320230213 is 312032023313031.

130313320230213 is a `hidden beast` number, since 1 + 3 + 0 + 31 + 3 + 320 + 2 + 302 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65582252334369 + 64731067895844 = 8098287^2 + 8045562^2 .

It is not a de Polignac number, because 130313320230213 - 2² = 130313320230209 is a prime.

It is a super-2 number, since 2×130313320230213² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130313320230713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231386463 + ... + 231948963.

It is an arithmetic number, because the mean of its divisors is an integer number (7860098915669).

Almost surely, 2^{130313320230213} is an apocalyptic number.

It is an amenable number.

130313320230213 is a deficient number, since it is larger than the sum of its proper divisors (58329053745843).

130313320230213 is a wasteful number, since it uses less digits than its factorization.

130313320230213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618805 (or 618802 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 130313320230213 its reverse (312032023313031), we get a palindrome (442345343543244).

The spelling of 130313320230213 in words is "one hundred thirty trillion, three hundred thirteen billion, three hundred twenty million, two hundred thirty thousand, two hundred thirteen".