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1013301310021 = 7111317227277947
BaseRepresentation
bin11101011111011010111…
…01101111001001000101
310120212111201011222120221
432233231131233021011
5113100220113410041
62053300523424341
7133131360010360
oct16575535571105
93525451158527
101013301310021
11360814199aa0
121444746850b1
1374727c066a0
1437088c070d7
151b5593852d1
hexebed76f245

1013301310021 has 128 divisors (see below), whose sum is σ = 1453649670144. Its totient is φ = 679768657920.

The previous prime is 1013301310009. The next prime is 1013301310061. The reversal of 1013301310021 is 1200131033101.

It is not a de Polignac number, because 1013301310021 - 25 = 1013301309989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013301309977 and 1013301310004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013301310061) 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, 1070011470 + ... + 1070012416.

It is an arithmetic number, because the mean of its divisors is an integer number (11356638048).

Almost surely, 21013301310021 is an apocalyptic number.

1013301310021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013301310021 is a deficient number, since it is larger than the sum of its proper divisors (440348360123).

1013301310021 is a wasteful number, since it uses less digits than its factorization.

1013301310021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1013301310021 its reverse (1200131033101), we get a palindrome (2213432343122).

The spelling of 1013301310021 in words is "one trillion, thirteen billion, three hundred one million, three hundred ten thousand, twenty-one".

Divisors: 1 7 11 13 17 77 91 119 143 187 221 227 277 947 1001 1309 1547 1589 1939 2431 2497 2951 3047 3601 3859 4709 6629 10417 12311 16099 17017 17479 20657 21329 25207 27013 32461 32963 39611 42449 50167 51799 61217 62879 72919 86177 112693 135421 177089 209287 214969 227227 262319 277277 297143 351169 362593 428519 440153 551837 673387 691669 817427 947947 1068943 1239623 1465009 1504783 1836233 2302157 2364659 2794597 2885509 3410147 3654473 3862859 4459423 4713709 4841683 5721989 7482601 8991697 11758373 13896259 16115099 16552613 19562179 20198563 23871029 25581311 30740567 31215961 37511617 40199203 47508149 49053653 57972499 59546413 62941879 82308611 97273813 152858849 215183969 262581319 281394421 332557043 343375571 405807493 416824891 522589639 637697489 655010543 774103369 1012289021 1070011943 3658127473 4463882423 4585073801 5418723583 7086023147 8515137059 11135179231 13159757273 59605959413 77946254617 92118300911 144757330003 1013301310021