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13342313001303 = 33111311383303581
BaseRepresentation
bin1100001000100111111111…
…0100111011000101010111
31202020111211201210201211000
43002021333310323011113
53222100024112020203
644213212440114343
72544643645165626
oct302117764730527
952214751721730
1013342313001303
114284496946160
1215b59b57659b3
1375a236b143b0
14341ab29c96bd
151820e691b4a3
hexc227fd3b157

13342313001303 has 64 divisors (see below), whose sum is σ = 23224168719360. Its totient is φ = 7463550729600.

The previous prime is 13342313001299. The next prime is 13342313001307. The reversal of 13342313001303 is 30310031324331.

13342313001303 is a `hidden beast` number, since 1 + 3 + 3 + 42 + 313 + 0 + 0 + 1 + 303 = 666.

It is an interprime number because it is at equal distance from previous prime (13342313001299) and next prime (13342313001307).

It is not a de Polignac number, because 13342313001303 - 22 = 13342313001299 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13342313001307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43797973 + ... + 44101553.

It is an arithmetic number, because the mean of its divisors is an integer number (362877636240).

Almost surely, 213342313001303 is an apocalyptic number.

13342313001303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13342313001303 is a deficient number, since it is larger than the sum of its proper divisors (9881855718057).

13342313001303 is a wasteful number, since it uses less digits than its factorization.

13342313001303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314997 (or 314991 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13342313001303 its reverse (30310031324331), we get a palindrome (43652344325634).

The spelling of 13342313001303 in words is "thirteen trillion, three hundred forty-two billion, three hundred thirteen million, one thousand, three hundred three".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 297 351 429 1287 3861 11383 34149 102447 125213 147979 303581 307341 375639 443937 910743 1126917 1331811 1627769 2732229 3339391 3380751 3946553 3995433 4883307 8196687 10018173 11839659 14649921 30054519 35518977 43412083 43949763 90163557 106556931 130236249 390708747 1172126241 3455662523 10366987569 31100962707 38012287753 44923612799 93302888121 114036863259 134770838397 342110589777 404312515191 494159740789 1026331769331 1212937545573 1482479222367 4447437667101 13342313001303