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13011220131 = 3713794211433
BaseRepresentation
bin11000001111000011…
…10111011010100011
31020120202220110120220
430013201313122203
5203121333021011
65551031334123
7640300355250
oct140741673243
936522813526
1013011220131
115577549298
122631521343
1312c47cca30
148b604a427
1551241b506
hex3078776a3

13011220131 has 64 divisors (see below), whose sum is σ = 21688504320. Its totient is φ = 6755374080.

The previous prime is 13011220093. The next prime is 13011220141. The reversal of 13011220131 is 13102211031.

It is a happy number.

It is not a de Polignac number, because 13011220131 - 26 = 13011220067 is a prime.

It is a super-2 number, since 2×130112201312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13011220131.

It is not an unprimeable number, because it can be changed into a prime (13011220141) 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, 9078991 + ... + 9080423.

It is an arithmetic number, because the mean of its divisors is an integer number (338882880).

Almost surely, 213011220131 is an apocalyptic number.

13011220131 is a deficient number, since it is larger than the sum of its proper divisors (8677284189).

13011220131 is a wasteful number, since it uses less digits than its factorization.

13011220131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13011220131 its reverse (13102211031), we get a palindrome (26113431162).

The spelling of 13011220131 in words is "thirteen billion, eleven million, two hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 7 13 21 39 79 91 237 273 421 553 1027 1263 1433 1659 2947 3081 4299 5473 7189 8841 10031 16419 18629 21567 30093 33259 38311 55887 99777 113207 114933 130403 232813 339621 391209 432367 603293 698439 792449 1297101 1471691 1809879 2377347 3026569 4223051 4415073 7842809 9079707 10301837 12669153 23528427 30905511 47660147 54899663 142980441 164698989 333621029 619581911 1000863087 1858745733 4337073377 13011220131