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1310103333133 = 721719318293221
BaseRepresentation
bin10011000100001000001…
…111100110100100001101
311122020121100112221202121
4103010020033212210031
5132431042423130013
62441504141052541
7163436403410200
oct23041017464415
94566540487677
101310103333133
114656801a4991
12191aa6b57151
139670832457a
14475a3329937
152412ade558d
hex131083e690d

1310103333133 has 96 divisors (see below), whose sum is σ = 1756026086400. Its totient is φ = 967496140800.

The previous prime is 1310103333107. The next prime is 1310103333139. The reversal of 1310103333133 is 3313333010131.

It is not a de Polignac number, because 1310103333133 - 213 = 1310103324941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1310103333098 and 1310103333107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310103333139) 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 95 ways as a sum of consecutive naturals, for example, 406736463 + ... + 406739683.

It is an arithmetic number, because the mean of its divisors is an integer number (18291938400).

Almost surely, 21310103333133 is an apocalyptic number.

It is an amenable number.

1310103333133 is a deficient number, since it is larger than the sum of its proper divisors (445922753267).

1310103333133 is a wasteful number, since it uses less digits than its factorization.

1310103333133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131 (or 4124 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 25.

Adding to 1310103333133 its reverse (3313333010131), we get a palindrome (4623436343264).

The spelling of 1310103333133 in words is "one trillion, three hundred ten billion, one hundred three million, three hundred thirty-three thousand, one hundred thirty-three".

Divisors: 1 7 17 19 31 49 119 133 217 323 527 589 829 833 931 1519 2261 3221 3689 4123 5803 10013 14093 15751 15827 22547 25699 25823 28861 40621 54757 61199 70091 98651 99851 110257 157829 179893 267767 383299 428393 436883 488281 490637 690557 698957 771799 1040383 1259251 1697467 1874369 1897169 2670209 2683093 2998751 3058181 3417967 4892699 7282681 8300777 11882269 13120583 13280183 18691463 21407267 23925769 32251873 45393553 50733971 50978767 58105439 82776479 83175883 92961281 130840241 225763111 317754871 355137797 406738073 579435353 862477507 1407200143 1572753101 1580341777 2224284097 2485964579 4056047471 6037342549 9850401001 11009271707 26736802717 42261397843 68952807007 77064901949 187157619019 1310103333133