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13130312331340 = 225157191193113437
BaseRepresentation
bin1011111100010010001110…
…0110100011000001001100
31201111020122001010211221201
42333010203212203001030
53210111334424100330
643531552054035244
72523430244214631
oct277044346430114
951436561124851
1013130312331340
114202597005aa6
1215808ab048b24
1374324c487799
14335720b94188
1517b839b42eca
hexbf1239a304c

13130312331340 has 96 divisors (see below), whose sum is σ = 28039347108864. Its totient is φ = 5164405309440.

The previous prime is 13130312331337. The next prime is 13130312331359. The reversal of 13130312331340 is 4313321303131.

It is a junction number, because it is equal to n+sod(n) for n = 13130312331299 and 13130312331308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115693102 + ... + 115806538.

It is an arithmetic number, because the mean of its divisors is an integer number (292076532384).

Almost surely, 213130312331340 is an apocalyptic number.

13130312331340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130312331340 is an abundant number, since it is smaller than the sum of its proper divisors (14909034777524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13130312331340 is a wasteful number, since it uses less digits than its factorization.

13130312331340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113987 (or 113985 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 13130312331340 its reverse (4313321303131), we get a palindrome (17443633634471).

The spelling of 13130312331340 in words is "thirteen trillion, one hundred thirty billion, three hundred twelve million, three hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 157 191 193 314 382 386 628 764 772 785 955 965 1570 1910 1930 3140 3820 3860 29987 30301 36863 59974 60602 73726 113437 119948 121204 147452 149935 151505 184315 226874 299870 303010 368630 453748 567185 599740 606020 737260 1134370 2268740 5787491 11574982 17809609 21666467 21893341 23149964 28937455 35619218 43332934 43786682 57874910 71238436 86665868 87573364 89048045 108332335 109466705 115749820 178096090 216664670 218933410 356192180 433329340 437866820 3401635319 3437254537 4181628131 6803270638 6874509074 8363256262 13606541276 13749018148 16726512524 17008176595 17186272685 20908140655 34016353190 34372545370 41816281310 68032706380 68745090740 83632562620 656515616567 1313031233134 2626062466268 3282578082835 6565156165670 13130312331340