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131021312113131 = 31110944819812717
BaseRepresentation
bin11101110010100111000110…
…110001000011100111101011
3122011220111220111221020100020
4131302213012301003213223
5114133123121400110011
61142354205421011523
736411656153345226
oct3562470661034753
9564814814836306
10131021312113131
113882490aa73160
12128409843b3ba3
135815345014c4b
14244d672c825bd
151023271d60006
hex7729c6c439eb

131021312113131 has 32 divisors (see below), whose sum is σ = 192329389612800. Its totient is φ = 78676500286080.

The previous prime is 131021312113103. The next prime is 131021312113183. The reversal of 131021312113131 is 131311213120131.

It is not a de Polignac number, because 131021312113131 - 25 = 131021312113099 is a prime.

It is a super-2 number, since 2×1310213121131312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131021312118131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160807585 + ... + 161620301.

It is an arithmetic number, because the mean of its divisors is an integer number (6010293425400).

Almost surely, 2131021312113131 is an apocalyptic number.

131021312113131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131021312113131 is a deficient number, since it is larger than the sum of its proper divisors (61308077499669).

131021312113131 is a wasteful number, since it uses less digits than its factorization.

131021312113131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857659.

The product of its (nonzero) digits is 324, while the sum is 24.

Adding to 131021312113131 its reverse (131311213120131), we get a palindrome (262332525233262).

The spelling of 131021312113131 in words is "one hundred thirty-one trillion, twenty-one billion, three hundred twelve million, one hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 11 33 109 327 1199 3597 44819 134457 493009 812717 1479027 2438151 4885271 8939887 14655813 26819661 53737981 88586153 161213943 265758459 974447683 2923343049 36425163223 109275489669 400676795453 1202030386359 3970342791307 11911028373921 43673770704377 131021312113131