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131310313243101 = 32291916833856597
BaseRepresentation
bin11101110110110100010000…
…100100111000000111011101
3122012221010212111112202212200
4131312310100210320013131
5114202342010142234401
61143135043010122113
736441566654412246
oct3566642044700735
9565833774482780
10131310313243101
1138926433633623
121288899a280339
135836681223625
14245d64b329ccd
15102aa38b04686
hex776d109381dd

131310313243101 has 48 divisors (see below), whose sum is σ = 197526927836160. Its totient is φ = 83955935226240.

The previous prime is 131310313243073. The next prime is 131310313243117. The reversal of 131310313243101 is 101342313013131.

131310313243101 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 0 + 313 + 243 + 101 = 666.

It is not a de Polignac number, because 131310313243101 - 27 = 131310313242973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131310313243141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32119935 + ... + 35976531.

It is an arithmetic number, because the mean of its divisors is an integer number (4115144329920).

Almost surely, 2131310313243101 is an apocalyptic number.

It is an amenable number.

131310313243101 is a deficient number, since it is larger than the sum of its proper divisors (66216614593059).

131310313243101 is a wasteful number, since it uses less digits than its factorization.

131310313243101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857506 (or 3857503 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 131310313243101 its reverse (101342313013131), we get a palindrome (232652626256232).

The spelling of 131310313243101 in words is "one hundred thirty-one trillion, three hundred ten billion, three hundred thirteen million, two hundred forty-three thousand, one hundred one".

Divisors: 1 3 9 29 87 191 261 573 683 1719 2049 5539 6147 16617 19807 49851 59421 130453 178263 391359 1174077 3783137 3856597 11349411 11569791 34048233 34709373 111841313 335523939 736610027 1006571817 2209830081 2634055751 6629490243 7902167253 21361690783 23706501759 64085072349 76387616779 192255217047 229162850337 503104648441 687488551011 1509313945323 4527941835969 14590034804789 43770104414367 131310313243101