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13023130101333 = 31117311633711779
BaseRepresentation
bin1011110110000010111100…
…0010110010011001010101
31201002222222022212102100020
42331200233002302121111
53201332332301220313
643410424322535353
72512614206253222
oct275405702623125
951088868772306
1013023130101333
114171095480220
121563b77b07559
137360ca99a201
14330473cdc949
15178b650e5323
hexbd82f0b2655

13023130101333 has 64 divisors (see below), whose sum is σ = 20126388971520. Its totient is φ = 7402840473600.

The previous prime is 13023130101283. The next prime is 13023130101343. The reversal of 13023130101333 is 33310103132031.

13023130101333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13023130101333 - 214 = 13023130084949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023130101343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1105616838 + ... + 1105628616.

It is an arithmetic number, because the mean of its divisors is an integer number (314474827680).

Almost surely, 213023130101333 is an apocalyptic number.

It is an amenable number.

13023130101333 is a deficient number, since it is larger than the sum of its proper divisors (7103258870187).

13023130101333 is a wasteful number, since it uses less digits than its factorization.

13023130101333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18458.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 13023130101333 its reverse (33310103132031), we get a palindrome (46333233233364).

The spelling of 13023130101333 in words is "thirteen trillion, twenty-three billion, one hundred thirty million, one hundred one thousand, three hundred thirty-three".

Divisors: 1 3 11 17 33 51 187 311 561 933 3421 5287 6337 10263 11779 15861 19011 35337 58157 69707 107729 129569 174471 200243 209121 323187 388707 600729 1185019 1970807 2202673 3555057 3663269 5912421 6608019 10989807 21678877 33503719 40295959 62275573 65036631 74643523 100511157 120887877 186826719 223930569 368540909 685031303 821078753 1105622727 1268939891 2055093909 2463236259 3806819673 13958338801 23214135653 41875016403 69642406959 255355492183 394640306101 766066476549 1183920918303 4341043367111 13023130101333