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13303012311121 = 1331223691121419
BaseRepresentation
bin1100000110010101100101…
…0100101100000001010001
31202002202101210121211001011
43001211121110230001101
53220424032122423441
644143153002010521
72542053021633151
oct301453124540121
952082353554034
1013303012311121
114269859705a15
1215aa267aa6a41
137566128bc030
1433dc25256761
1518109651c581
hexc195952c051

13303012311121 has 32 divisors (see below), whose sum is σ = 14857619374080. Its totient is φ = 11828030529600.

The previous prime is 13303012311119. The next prime is 13303012311151. The reversal of 13303012311121 is 12111321030331.

It is a cyclic number.

It is not a de Polignac number, because 13303012311121 - 21 = 13303012311119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13303012311092 and 13303012311101.

It is not an unprimeable number, because it can be changed into a prime (13303012311151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 621073950 + ... + 621095368.

It is an arithmetic number, because the mean of its divisors is an integer number (464300605440).

Almost surely, 213303012311121 is an apocalyptic number.

It is an amenable number.

13303012311121 is a deficient number, since it is larger than the sum of its proper divisors (1554607062959).

13303012311121 is a wasteful number, since it uses less digits than its factorization.

13303012311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28597.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 13303012311121 its reverse (12111321030331), we get a palindrome (25414333341452).

The spelling of 13303012311121 in words is "thirteen trillion, three hundred three billion, twelve million, three hundred eleven thousand, one hundred twenty-one".

Divisors: 1 13 31 223 403 2899 6911 6913 21419 89843 89869 214241 278447 663989 1541153 2785133 4776437 8631857 20034989 47775743 62093681 148026709 148069547 621084659 1924347217 1924904111 4588827979 33009956107 59654763727 429129429391 1023308639317 13303012311121