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131331012313 = 2945131003469
BaseRepresentation
bin111101001001111110…
…0000011011011011001
3110112222200110200021011
41322103330003123121
54122431214343223
6140155503213521
712326335120504
oct1722374033331
9415880420234
10131331012313
1150773a29406
12215525a72a1
13c4cc87a497
1464dc18013b
153639b2c80d
hex1e93f036d9

131331012313 has 8 divisors (see below), whose sum is σ = 135889907400. Its totient is φ = 126774133248.

The previous prime is 131331012311. The next prime is 131331012341. The reversal of 131331012313 is 313210133131.

It can be written as a sum of positive squares in 4 ways, for example, as 2992965264 + 128338047049 = 54708^2 + 358243^2 .

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 131331012313 - 21 = 131331012311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131331012311) 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, 370858 + ... + 632611.

It is an arithmetic number, because the mean of its divisors is an integer number (16986238425).

Almost surely, 2131331012313 is an apocalyptic number.

It is an amenable number.

131331012313 is a deficient number, since it is larger than the sum of its proper divisors (4558895087).

131331012313 is a wasteful number, since it uses less digits than its factorization.

131331012313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008011.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 131331012313 its reverse (313210133131), we get a palindrome (444541145444).

The spelling of 131331012313 in words is "one hundred thirty-one billion, three hundred thirty-one million, twelve thousand, three hundred thirteen".

Divisors: 1 29 4513 130877 1003469 29100601 4528655597 131331012313