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12101313121131 = 3132571207354397
BaseRepresentation
bin1011000000011000111001…
…1110000100101101101011
31120211212121022120220121010
42300012032132010231223
53041231442124334011
641423133321515003
72356201551230343
oct260061636045553
946755538526533
1012101313121131
11394615785a283
121435395342a63
1369a1c227c680
142db9c71b7d23
1515ebb258d1a6
hexb018e784b6b

12101313121131 has 16 divisors (see below), whose sum is σ = 17443856342304. Its totient is φ = 7417985409024.

The previous prime is 12101313121099. The next prime is 12101313121201. The reversal of 12101313121131 is 13112131310121.

It is not a de Polignac number, because 12101313121131 - 25 = 12101313121099 is a prime.

It is a super-2 number, since 2×121013131211312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12101313121098 and 12101313121107.

It is not an unprimeable number, because it can be changed into a prime (12101313121631) 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, 603667176 + ... + 603687221.

It is an arithmetic number, because the mean of its divisors is an integer number (1090241021394).

Almost surely, 212101313121131 is an apocalyptic number.

12101313121131 is a deficient number, since it is larger than the sum of its proper divisors (5342543221173).

12101313121131 is a wasteful number, since it uses less digits than its factorization.

12101313121131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207354670.

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 12101313121131 its reverse (13112131310121), we get a palindrome (25213444431252).

The spelling of 12101313121131 in words is "twelve trillion, one hundred one billion, three hundred thirteen million, one hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 13 39 257 771 3341 10023 1207354397 3622063191 15695607161 47086821483 310290080029 930870240087 4033771040377 12101313121131