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13130113311 = 33747531672
BaseRepresentation
bin11000011101001110…
…11010000100011111
31020220001121212101000
430032213122010133
5203342302111221
610010515521343
7643243056510
oct141647320437
936801555330
1013130113311
115628674517
1226652b9253
131313329c23
148c7b58a07
1551caa3e26
hex30e9da11f

13130113311 has 96 divisors (see below), whose sum is σ = 23271598080. Its totient is φ = 7161590592.

The previous prime is 13130113303. The next prime is 13130113327. The reversal of 13130113311 is 11331103131.

13130113311 is a `hidden beast` number, since 1 + 31 + 301 + 1 + 331 + 1 = 666.

It is not a de Polignac number, because 13130113311 - 23 = 13130113303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130113301) 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, 78623350 + ... + 78623516.

It is an arithmetic number, because the mean of its divisors is an integer number (242412480).

Almost surely, 213130113311 is an apocalyptic number.

13130113311 is a deficient number, since it is larger than the sum of its proper divisors (10141484769).

13130113311 is an equidigital number, since it uses as much as digits as its factorization.

13130113311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 277 counting only the distinct ones).

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

Adding to 13130113311 its reverse (11331103131), we get a palindrome (24461216442).

The spelling of 13130113311 in words is "thirteen billion, one hundred thirty million, one hundred thirteen thousand, three hundred eleven".

Divisors: 1 3 7 9 21 27 47 53 63 141 159 167 189 329 371 423 477 501 987 1113 1169 1269 1431 1503 2491 2961 3339 3507 4509 7473 7849 8851 8883 10017 10521 17437 22419 23547 26553 27889 31563 52311 54943 61957 67257 70641 79659 83667 156933 164829 185871 195223 211923 238977 251001 415997 470799 494487 557613 585669 753003 1247991 1310783 1478117 1483461 1672839 1757007 2911979 3743973 3932349 4434351 5271021 8735937 9175481 10346819 11231919 11797047 13303053 26207811 27526443 31040457 35391141 39909159 69471499 78623433 82579329 93121371 208414497 247737987 279364113 486300493 625243491 1458901479 1875730473 4376704437 13130113311