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131302341301001 = 13171095450717809
BaseRepresentation
bin11101110110101100110101…
…011010010101001100001001
3122012220101021220221011011212
4131312230311122111030021
5114202224143333113001
61143131243551502505
736441165264131453
oct3566546532251411
9565811256834155
10131302341301001
113892301268a522
1212887334527a35
1358359b0755520
14245d0d26872d3
15102a71dcec7bb
hex776b35695309

131302341301001 has 16 divisors (see below), whose sum is σ = 151093897693200. Its totient is φ = 113026084466688.

The previous prime is 131302341300959. The next prime is 131302341301007. The reversal of 131302341301001 is 100103143203131.

It can be written as a sum of positive squares in 8 ways, for example, as 1314865848976 + 129987475452025 = 1146676^2 + 11401205^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131302341301001 is a prime.

It is a super-2 number, since 2×1313023413010012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131302341301007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2725334816 + ... + 2725382993.

It is an arithmetic number, because the mean of its divisors is an integer number (9443368605825).

Almost surely, 2131302341301001 is an apocalyptic number.

It is an amenable number.

131302341301001 is a deficient number, since it is larger than the sum of its proper divisors (19791556392199).

131302341301001 is a wasteful number, since it uses less digits than its factorization.

131302341301001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5450717948.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 131302341301001 its reverse (100103143203131), we get a palindrome (231405484504132).

The spelling of 131302341301001 in words is "one hundred thirty-one trillion, three hundred two billion, three hundred forty-one million, three hundred one thousand, one".

Divisors: 1 13 17 109 221 1417 1853 24089 5450717809 70859331517 92662202753 594128241181 1204608635789 7723667135353 10100180100077 131302341301001