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13301330133 = 3721319379901
BaseRepresentation
bin11000110001101001…
…00011000011010101
31021022222210120200210
430120310203003111
5204220120031013
610035513400033
7650422304100
oct143064430325
937288716623
1013301330133
115706288223
1226b2709019
13133c947060
149027a7737
1552cb24cc3
hex318d230d5

13301330133 has 96 divisors (see below), whose sum is σ = 24021459840. Its totient is φ = 6466521600.

The previous prime is 13301330117. The next prime is 13301330149. The reversal of 13301330133 is 33103310331.

It is an interprime number because it is at equal distance from previous prime (13301330117) and next prime (13301330149).

It is not a de Polignac number, because 13301330133 - 24 = 13301330117 is a prime.

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

13301330133 is a modest number, since divided by 1330133 gives 133 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301330033) 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, 1338483 + ... + 1348383.

It is an arithmetic number, because the mean of its divisors is an integer number (250223540).

Almost surely, 213301330133 is an apocalyptic number.

13301330133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13301330133 is a deficient number, since it is larger than the sum of its proper divisors (10720129707).

13301330133 is a wasteful number, since it uses less digits than its factorization.

13301330133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9987 (or 9980 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 13301330133 its reverse (33103310331), we get a palindrome (46404640464).

The spelling of 13301330133 in words is "thirteen billion, three hundred one million, three hundred thirty thousand, one hundred thirty-three".

Divisors: 1 3 7 13 19 21 37 39 49 57 91 111 133 147 247 259 273 399 481 637 703 741 777 931 1443 1729 1813 1911 2109 2793 3367 4921 5187 5439 9139 9901 10101 12103 14763 23569 27417 29703 34447 36309 63973 69307 70707 103341 128713 188119 191919 207921 366337 386139 447811 485149 564357 900991 1099011 1316833 1343433 1455447 2445547 2564359 2702973 3950499 4762381 6306937 6960403 7336641 7693077 9217831 14287143 17118829 17950513 18920811 20881209 27653493 33336667 48722821 51356487 53851539 90485239 100010001 119831803 146168463 233356669 271455717 341059747 359495409 633396673 700070007 1023179241 1900190019 4433776711 13301330133