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13204130114131 = 113137972111227
BaseRepresentation
bin1100000000100101001101…
…1111000010101001010011
31201202022011112022202020221
43000021103133002221103
53212314024302123011
644025521005213511
72531652440056435
oct300112337025123
951668145282227
1013204130114131
114230927244860
121593070561297
1374a1b48546b8
1433912484a655
1517d70a4d3971
hexc02537c2a53

13204130114131 has 48 divisors (see below), whose sum is σ = 15430231544832. Its totient is φ = 11185954329600.

The previous prime is 13204130114129. The next prime is 13204130114141. The reversal of 13204130114131 is 13141103140231.

It is not a de Polignac number, because 13204130114131 - 21 = 13204130114129 is a prime.

It is a super-2 number, since 2×132041301141312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13204130114096 and 13204130114105.

It is not an unprimeable number, because it can be changed into a prime (13204130114101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118657740 + ... + 118768966.

It is an arithmetic number, because the mean of its divisors is an integer number (321463157184).

Almost surely, 213204130114131 is an apocalyptic number.

13204130114131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13204130114131 is a deficient number, since it is larger than the sum of its proper divisors (2226101430701).

13204130114131 is a wasteful number, since it uses less digits than its factorization.

13204130114131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111500 (or 111403 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 13204130114131 its reverse (13141103140231), we get a palindrome (26345233254362).

The spelling of 13204130114131 in words is "thirteen trillion, two hundred four billion, one hundred thirty million, one hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 11 31 37 97 341 407 1067 1147 3007 3589 9409 12617 33077 39479 103499 111227 111259 291679 348133 1223497 1223849 3208469 3448037 3829463 4115399 10789019 10792123 37928407 45269389 118679209 118713353 127577369 334459589 399193703 1046534843 1403351059 3679055479 4391130733 11511883273 12375004793 32442580133 38721789191 136125052723 356868381463 425939681101 1200375464921 13204130114131