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1313302101020 = 225713732135409
BaseRepresentation
bin10011000111000110111…
…001111011110000011100
311122112212021121012101022
4103013012321323300130
5133004120314213040
62443153405503312
7163611564446120
oct23070671736034
94575767535338
101313302101020
11466a71886608
1219263a271b38
1396ac7c51330
14477c80b3580
1524266b4d6b5
hex131c6e7bc1c

1313302101020 has 144 divisors (see below), whose sum is σ = 3441541561920. Its totient is φ = 409941762048.

The previous prime is 1313302101017. The next prime is 1313302101103. The reversal of 1313302101020 is 201012033131.

It is a self number, because there is not a number n which added to its sum of digits gives 1313302101020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9631076 + ... + 9766484.

It is an arithmetic number, because the mean of its divisors is an integer number (23899594180).

Almost surely, 21313302101020 is an apocalyptic number.

1313302101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313302101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720770780960).

1313302101020 is an abundant number, since it is smaller than the sum of its proper divisors (2128239460900).

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

1313302101020 is a wasteful number, since it uses less digits than its factorization.

1313302101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135584 (or 135509 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1313302101020 its reverse (201012033131), we get a palindrome (1514314134151).

The spelling of 1313302101020 in words is "one trillion, three hundred thirteen billion, three hundred two million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 73 91 130 140 146 182 260 292 364 365 455 511 730 910 949 1022 1460 1820 1898 2044 2555 3796 4745 5110 5329 6643 9490 10220 10658 13286 18980 21316 26572 26645 33215 37303 53290 66430 69277 74606 106580 132860 135409 138554 149212 186515 270818 277108 346385 373030 484939 541636 677045 692770 746060 947863 969878 1354090 1385540 1760317 1895726 1939756 2424695 2708180 3520634 3791452 4739315 4849390 7041268 8801585 9478630 9698780 9884857 12322219 17603170 18957260 19769714 24644438 35206340 39539428 49288876 49424285 61611095 69193999 98848570 123222190 128503141 138387998 197697140 246444380 257006282 276775996 345969995 514012564 642515705 691939990 721594561 899521987 1285031410 1383879980 1443189122 1799043974 2570062820 2886378244 3598087948 3607972805 4497609935 5051161927 7215945610 8995219870 9380729293 10102323854 14431891220 17990439740 18761458586 20204647708 25255809635 37522917172 46903646465 50511619270 65665105051 93807292930 101023238540 131330210102 187614585860 262660420204 328325525255 656651050510 1313302101020