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131013020512123 = 17219293159449833
BaseRepresentation
bin11101110010011111011000…
…100011000110111101111011
3122011212201111122211021001121
4131302133120203012331323
5114133004131222341443
61142350314543130111
736411243532036321
oct3562373043067573
9564781448737047
10131013020512123
1138821345638642
121283b24b5a3937
135814623254c69
14244d0c798dd11
151022e38e644ed
hex7727d88c6f7b

131013020512123 has 96 divisors (see below), whose sum is σ = 159090091776000. Its totient is φ = 107299830435840.

The previous prime is 131013020512111. The next prime is 131013020512141. The reversal of 131013020512123 is 321215020310131.

It is a de Polignac number, because none of the positive numbers 2k-131013020512123 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131013020512163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291023215 + ... + 291473047.

It is an arithmetic number, because the mean of its divisors is an integer number (1657188456000).

Almost surely, 2131013020512123 is an apocalyptic number.

131013020512123 is a deficient number, since it is larger than the sum of its proper divisors (28077071263877).

131013020512123 is a wasteful number, since it uses less digits than its factorization.

131013020512123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450005 (or 449988 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 131013020512123 its reverse (321215020310131), we get a palindrome (452228040822254).

The spelling of 131013020512123 in words is "one hundred thirty-one trillion, thirteen billion, twenty million, five hundred twelve thousand, one hundred twenty-three".

Divisors: 1 17 19 29 31 59 289 323 493 527 551 589 899 1003 1121 1711 1829 5491 8381 8959 9367 10013 15283 17051 17081 19057 29087 31093 32509 34751 53041 159239 170221 259811 290377 323969 449833 494479 528581 552653 590767 901697 1007779 4936409 7647161 8546827 9395101 10043039 13045157 13944823 15328849 17132243 26540147 130001737 145296059 221767669 237061991 247857983 264951637 291248131 404399867 451182499 504262793 769664263 822744557 2470033003 3770050373 4030053847 4213585711 4504177829 6874797739 7670102483 7683597473 8572467481 13084292471 13986657469 14623620997 15632146583 23859592153 71630957087 76571023093 116871561563 130621157041 145731947177 222432972007 237773176973 248601556949 265746491911 405613066601 453332250907 2220559669697 4226226468133 4517690362487 6895422132217 7706648265419 131013020512123