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13111033131 = 3271789263523
BaseRepresentation
bin11000011010111101…
…00111110100101011
31020211201201111021200
430031132213310223
5203322411030011
610004554535243
7642621641250
oct141536476453
936751644250
1013111033131
115618922279
12265aa37523
13130c3a9391
148c53cd427
1551b085856
hex30d7a7d2b

13111033131 has 96 divisors (see below), whose sum is σ = 23306849280. Its totient is φ = 6932293632.

The previous prime is 13111033129. The next prime is 13111033141. The reversal of 13111033131 is 13133011131.

It is not a de Polignac number, because 13111033131 - 21 = 13111033129 is a prime.

It is a super-2 number, since 2×131110331312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13111033141) 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, 25068636 + ... + 25069158.

It is an arithmetic number, because the mean of its divisors is an integer number (242779680).

Almost surely, 213111033131 is an apocalyptic number.

13111033131 is a deficient number, since it is larger than the sum of its proper divisors (10195816149).

13111033131 is a wasteful number, since it uses less digits than its factorization.

13111033131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 13111033131 its reverse (13133011131), we get a palindrome (26244044262).

The spelling of 13111033131 in words is "thirteen billion, one hundred eleven million, thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 17 21 51 63 89 119 153 263 267 357 523 623 789 801 1071 1513 1569 1841 1869 2367 3661 4471 4539 4707 5523 5607 8891 10591 10983 13413 13617 16569 23407 26673 31297 31773 32949 40239 46547 62237 70221 80019 93891 95319 137549 139641 163849 186711 210663 281673 325829 397919 412647 418923 491547 560133 791299 962843 977487 1193757 1237941 1474641 2338333 2373897 2785433 2888529 2932461 3581271 5539093 7014999 7121691 8356299 8665587 12241861 16368331 16617279 21044997 25068897 36725583 49104993 49851837 85693027 110176749 147314979 208111637 257079081 624334911 771237243 1456781459 1873004733 4370344377 13111033131