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113300230121013 = 313375917967311047
BaseRepresentation
bin11001110000101111000011…
…111110000010011000110101
3112212011101200211202102222210
4121300233003332002120311
5104322302332402333023
61040545223540444033
732602446215635125
oct3160570376023065
9485141624672883
10113300230121013
11331123a3199521
121085a4159a9619
134b2b220502330
141dd9a9075cc85
15d172eb91e593
hex670bc3f82635

113300230121013 has 128 divisors (see below), whose sum is σ = 171135040204800. Its totient is φ = 66211899973632.

The previous prime is 113300230120981. The next prime is 113300230121017. The reversal of 113300230121013 is 310121032003311.

It is a happy number.

It is not a de Polignac number, because 113300230121013 - 25 = 113300230120981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113300230121017) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10256193456 + ... + 10256204502.

It is an arithmetic number, because the mean of its divisors is an integer number (1336992501600).

Almost surely, 2113300230121013 is an apocalyptic number.

113300230121013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113300230121013 is a deficient number, since it is larger than the sum of its proper divisors (57834810083787).

113300230121013 is a wasteful number, since it uses less digits than its factorization.

113300230121013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12011.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 113300230121013 its reverse (310121032003311), we get a palindrome (423421262124324).

The spelling of 113300230121013 in words is "one hundred thirteen trillion, three hundred billion, two hundred thirty million, one hundred twenty-one thousand, thirteen".

Divisors: 1 3 13 37 39 59 111 177 179 481 537 673 767 1443 2019 2183 2301 2327 6549 6623 6981 8749 10561 11047 19869 24901 26247 28379 31683 33141 39707 74703 85137 86099 119121 120467 137293 143611 258297 323713 361401 390757 408739 411879 430833 516191 651773 971139 1172271 1226217 1469159 1548573 1566071 1955319 1977413 4407477 4457279 4698213 5079841 5313607 5932239 7107553 7434631 8473049 13371837 15239523 15940821 19099067 21322659 22303893 24115601 25419147 25706369 57297201 57944627 72346803 73164281 77119107 92398189 96650203 116667367 173833881 219492843 262979461 275081347 277194567 289950609 313502813 350002101 438643229 788938383 825244041 940508439 951135653 1315929687 1330798949 1516675771 2853406959 3418732993 3576057511 3992396847 4316692579 4550027313 5702361977 10256198979 10728172533 12950077737 16229799473 17107085931 17300386337 48689398419 49239561113 51901159011 56117003527 78517137991 147718683339 168351010581 210987393149 235551413973 632962179447 640114294469 1020722793883 1920342883407 2905134105667 3062168381649 8715402317001 37766743373671 113300230121013