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13101113002341 = 3721357113678783
BaseRepresentation
bin1011111010100101011100…
…1011111100100101100101
31201101110021002110020201010
42332221113023330211211
53204122034412033331
643510322423052433
72521344536055600
oct276512713744545
951343232406633
1013101113002341
1141a1172820a41
1215771002a1119
13740577c4bb10
14334150c0b337
1517abcb474e46
hexbea572fc965

13101113002341 has 96 divisors (see below), whose sum is σ = 21940036005888. Its totient is φ = 6892543566720.

The previous prime is 13101113002337. The next prime is 13101113002343. The reversal of 13101113002341 is 14320031110131.

It is not a de Polignac number, because 13101113002341 - 22 = 13101113002337 is a prime.

It is a super-2 number, since 2×131011130023412 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101113002343) 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, 1491640036 + ... + 1491648818.

It is an arithmetic number, because the mean of its divisors is an integer number (228542041728).

Almost surely, 213101113002341 is an apocalyptic number.

It is an amenable number.

13101113002341 is a deficient number, since it is larger than the sum of its proper divisors (8838923003547).

13101113002341 is a wasteful number, since it uses less digits than its factorization.

13101113002341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10751 (or 10744 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 13101113002341 its reverse (14320031110131), we get a palindrome (27421144112472).

The spelling of 13101113002341 in words is "thirteen trillion, one hundred one billion, one hundred thirteen million, two thousand, three hundred forty-one".

Divisors: 1 3 7 13 21 39 49 91 147 273 571 637 1367 1713 1911 3997 4101 7423 8783 9569 11991 17771 22269 26349 27979 28707 51961 53313 61481 66983 83937 114179 124397 155883 184443 200949 342537 363727 373191 430367 780557 799253 870779 1091181 1291101 2341671 2397759 2612337 5015093 5463899 5594771 10147241 12006361 15045279 16391697 16784313 30441723 35105651 36019083 38247293 65196209 71030687 84044527 105316953 114741879 156082693 195588627 213092061 245739557 252133581 456373463 468248079 497214809 588311689 737218671 1092578851 1369120389 1491644427 1764935067 3194614241 3277736553 6855632131 7648051957 9583842723 20566896393 22944155871 47989424917 89123217703 143968274751 267369653109 335925974419 623862523921 1007777923257 1871587571763 4367037667447 13101113002341