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121310202013 = 711213312391487
BaseRepresentation
bin111000011111010100…
…1101100100010011101
3102121010022112202202221
41300332221230202131
53441420402431023
6131421254345341
711523115463230
oct1607651544235
9377108482687
10121310202013
11474a14a0300
121b61665b251
13b593784b30
145c2b361417
15325000d85d
hex1c3ea6c89d

121310202013 has 96 divisors (see below), whose sum is σ = 170229104640. Its totient is φ = 84031516800.

The previous prime is 121310202011. The next prime is 121310202037. The reversal of 121310202013 is 310202013121.

It is not a de Polignac number, because 121310202013 - 21 = 121310202011 is a prime.

It is a super-2 number, since 2×1213102020132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121310202011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81579756 + ... + 81581242.

It is an arithmetic number, because the mean of its divisors is an integer number (1773219840).

Almost surely, 2121310202013 is an apocalyptic number.

121310202013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121310202013 is a deficient number, since it is larger than the sum of its proper divisors (48918902627).

121310202013 is a wasteful number, since it uses less digits than its factorization.

121310202013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 121310202013 its reverse (310202013121), we get a palindrome (431512215134).

It can be divided in two parts, 121310 and 202013, that added together give a palindrome (323323).

The spelling of 121310202013 in words is "one hundred twenty-one billion, three hundred ten million, two hundred two thousand, thirteen".

Divisors: 1 7 11 13 31 77 91 121 143 217 239 341 403 847 1001 1487 1573 1673 2387 2629 2821 3107 3751 4433 7409 10409 11011 16357 18403 19331 21749 26257 28919 31031 34177 46097 48763 51863 81499 96317 114499 135317 179927 202433 212641 239239 322679 341341 355393 375947 507067 570493 599261 674219 896489 1059487 1259489 1488487 2339051 2487751 2631629 3549469 3909323 4194827 4620109 5577737 6275423 6591871 7416409 11017183 11654357 16373357 27365261 32340763 39044159 43002553 46143097 50821199 72510581 77120281 81580499 121189013 143223379 301017871 355748393 507574067 559033189 848323091 1002563653 1333079143 1575457169 3913232323 9331554001 11028200183 17330028859 121310202013