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13332102321213 = 32134310932424511
BaseRepresentation
bin1100001000000001111100…
…1110010001010000111101
31202012112111010121102221100
43002000133032101100331
53221413121143234323
644204403325523313
72544132631635204
oct302003716212075
952175433542840
1013332102321213
114280127214075
1215b3a26113539
1375929a5a0660
143413c48a423b
15181bea2e4943
hexc201f39143d

13332102321213 has 48 divisors (see below), whose sum is σ = 21240548353024. Its totient is φ = 8006236318080.

The previous prime is 13332102321173. The next prime is 13332102321259. The reversal of 13332102321213 is 31212320123331.

13332102321213 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 210 + 232 + 1 + 213 = 666.

It is not a de Polignac number, because 13332102321213 - 212 = 13332102317117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332102329213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4286628 + ... + 6711138.

Almost surely, 213332102321213 is an apocalyptic number.

13332102321213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13332102321213 is a deficient number, since it is larger than the sum of its proper divisors (7908446031811).

13332102321213 is a wasteful number, since it uses less digits than its factorization.

13332102321213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425666 (or 2425663 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13332102321213 its reverse (31212320123331), we get a palindrome (44544422444544).

The spelling of 13332102321213 in words is "thirteen trillion, three hundred thirty-two billion, one hundred two million, three hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 3 9 13 39 43 117 129 387 559 1093 1677 3279 5031 9837 14209 42627 46999 127881 140997 422991 610987 1832961 2424511 5498883 7273533 21820599 31518643 94555929 104253973 283667787 312761919 938285757 1355301649 2649990523 4065904947 7949971569 12197714841 23849914707 34449876799 103349630397 113949592489 310048891191 341848777467 1025546332401 1481344702357 4444034107071 13332102321213