130201130010313 has 8 divisors (see below), whose sum is σ = 130446477567432. Its totient is φ = 129955824007296.

The previous prime is 130201130010283. The next prime is 130201130010361. The reversal of 130201130010313 is 313010031102031.

It can be written as a sum of positive squares in 4 ways, for example, as 101488119184 + 130099641891129 = 318572^2 + 11406123^2 .

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 130201130010313 - 2²¹ = 130201127913161 is a prime.

It is a super-3 number, since 3×130201130010313³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130201130016313) 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, 4112470 + ... + 16652767.

It is an arithmetic number, because the mean of its divisors is an integer number (16305809695929).

Almost surely, 2^{130201130010313} is an apocalyptic number.

It is an amenable number.

130201130010313 is a deficient number, since it is larger than the sum of its proper divisors (245347557119).

130201130010313 is a wasteful number, since it uses less digits than its factorization.

130201130010313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20777051.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 130201130010313 its reverse (313010031102031), we get a palindrome (443211161112344).

The spelling of 130201130010313 in words is "one hundred thirty trillion, two hundred one billion, one hundred thirty million, ten thousand, three hundred thirteen".