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131223120230121 = 32931373883147727
BaseRepresentation
bin11101110101100011000011…
…011101111011011011101001
3122012121210210212111210001120
4131311203003131323123221
5114144424422234330441
61143031022541205453
736432362151134313
oct3565430335733351
9565553725453046
10131223120230121
11388a245a432417
1212873b05560889
13582b396b0691a
1424593391507b3
151028633de2966
hex7758c377b6e9

131223120230121 has 64 divisors (see below), whose sum is σ = 187550363320320. Its totient is φ = 81428745726720.

The previous prime is 131223120230119. The next prime is 131223120230123. The reversal of 131223120230121 is 121032021322131.

It is an interprime number because it is at equal distance from previous prime (131223120230119) and next prime (131223120230123).

It is not a de Polignac number, because 131223120230121 - 21 = 131223120230119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131223120230091 and 131223120230100.

It is not an unprimeable number, because it can be changed into a prime (131223120230123) 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 63 ways as a sum of consecutive naturals, for example, 888207360 + ... + 888355086.

It is an arithmetic number, because the mean of its divisors is an integer number (2930474426880).

Almost surely, 2131223120230121 is an apocalyptic number.

It is an amenable number.

131223120230121 is a deficient number, since it is larger than the sum of its proper divisors (56327243090199).

131223120230121 is a wasteful number, since it uses less digits than its factorization.

131223120230121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149046.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131223120230121 its reverse (121032021322131), we get a palindrome (252255141552252).

The spelling of 131223120230121 in words is "one hundred thirty-one trillion, two hundred twenty-three billion, one hundred twenty million, two hundred thirty thousand, one hundred twenty-one".

Divisors: 1 3 29 31 87 93 373 883 899 1119 2649 2697 10817 11563 25607 27373 32451 34689 76821 82119 147727 329359 335327 443181 793817 988077 1005981 2381451 4284083 4579537 9551411 10210129 12852249 13738611 28654233 30630387 55102171 130442941 132806573 165306513 296093741 391328823 398419719 888281223 1597962959 1708167301 3782845289 4043731171 4793888877 5124501903 11348535867 12131193513 48655216993 49536851729 117268203959 145965650979 148610555187 351804611877 1411001292797 1508311726783 4233003878391 4524935180349 43741040076707 131223120230121