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13131366640413 = 37171051255713687
BaseRepresentation
bin1011111100010110001001…
…1100011010101100011101
31201111100100112000022002220
42333011202130122230131
53210121014324443123
643532244435335553
72523465335541210
oct277054234325435
951440315008086
1013131366640413
114202a8815300a
121580b441515b9
13743389a2b4c8
143357c0bdb777
1517b89c4a0ce3
hexbf16271ab1d

13131366640413 has 64 divisors (see below), whose sum is σ = 21216745156608. Its totient is φ = 7052253465600.

The previous prime is 13131366640387. The next prime is 13131366640421. The reversal of 13131366640413 is 31404666313131.

It is not a de Polignac number, because 13131366640413 - 212 = 13131366636317 is a prime.

It is a super-3 number, since 3×131313666404133 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131366600413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 959397456 + ... + 959411142.

It is an arithmetic number, because the mean of its divisors is an integer number (331511643072).

Almost surely, 213131366640413 is an apocalyptic number.

It is an amenable number.

13131366640413 is a deficient number, since it is larger than the sum of its proper divisors (8085378516195).

13131366640413 is a wasteful number, since it uses less digits than its factorization.

13131366640413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17322.

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 13131366640413 in words is "thirteen trillion, one hundred thirty-one billion, three hundred sixty-six million, six hundred forty thousand, four hundred thirteen".

Divisors: 1 3 7 17 21 51 119 357 1051 2557 3153 7357 7671 13687 17867 17899 22071 41061 43469 53601 53697 95809 125069 130407 232679 287427 304283 375207 698037 912849 1628753 2687407 4886259 8062221 14385037 18811849 34997659 43155111 45685919 56435547 100695259 104992977 137057757 244545629 244983613 302085777 319801433 594960203 733636887 734950839 959404299 1711819403 1784880609 4164721421 5135458209 12494164263 36782539609 110347618827 257477777263 625303173353 772433331789 1875909520059 4377122213471 13131366640413