130313221313 has 32 divisors (see below), whose sum is σ = 152030269440. Its totient is φ = 110532090240.

The previous prime is 130313221307. The next prime is 130313221327. The reversal of 130313221313 is 313122313031.

It is not a de Polignac number, because 130313221313 - 2⁶ = 130313221249 is a prime.

It is a super-3 number, since 3×130313221313³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130313221513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1619645 + ... + 1698197.

It is an arithmetic number, because the mean of its divisors is an integer number (4750945920).

Almost surely, 2^130313221313 is an apocalyptic number.

It is an amenable number.

130313221313 is a deficient number, since it is larger than the sum of its proper divisors (21717048127).

130313221313 is a wasteful number, since it uses less digits than its factorization.

130313221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78749.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 130313221313 its reverse (313122313031), we get a palindrome (443435534344).

The spelling of 130313221313 in words is "one hundred thirty billion, three hundred thirteen million, two hundred twenty-one thousand, three hundred thirteen".