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1313210130113 = 7238968895133
BaseRepresentation
bin10011000111000001011…
…011000101111011000001
311122112121212112121000102
4103013001123011323001
5133003423243130423
62443140322332145
7163606366634300
oct23070133057301
94575555477012
101313210130113
11466a249794a2
121926134ba055
1396ab1b8c28b
14477b9bb2437
152425da32c28
hex131c16c5ec1

1313210130113 has 12 divisors (see below), whose sum is σ = 1531538828820. Its totient is φ = 1122715071072.

The previous prime is 1313210130109. The next prime is 1313210130139. The reversal of 1313210130113 is 3110310123131.

It can be written as a sum of positive squares in 2 ways, for example, as 853982988544 + 459227141569 = 924112^2 + 677663^2 .

It is not a de Polignac number, because 1313210130113 - 22 = 1313210130109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1313210130143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34428506 + ... + 34466627.

It is an arithmetic number, because the mean of its divisors is an integer number (127628235735).

Almost surely, 21313210130113 is an apocalyptic number.

It is an amenable number.

1313210130113 is a deficient number, since it is larger than the sum of its proper divisors (218328698707).

1313210130113 is an equidigital number, since it uses as much as digits as its factorization.

1313210130113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68895536 (or 68895529 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1313210130113 its reverse (3110310123131), we get a palindrome (4423520253244).

The spelling of 1313210130113 in words is "one trillion, three hundred thirteen billion, two hundred ten million, one hundred thirty thousand, one hundred thirteen".

Divisors: 1 7 49 389 2723 19061 68895133 482265931 3375861517 26800206737 187601447159 1313210130113