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130213030332333 = 31317283431322951
BaseRepresentation
bin11101100110110110010101…
…011010110000011110101101
3122002001020120222011102212110
4131212312111122300132231
5114031402241231113313
61140535012413154233
736266403164514534
oct3546662532603655
9562036528142773
10130213030332333
1138543043a80a23
12127301a848b979
135787061336380
1424224b6a6331b
15100c216961ec3
hex766d956b07ad

130213030332333 has 96 divisors (see below), whose sum is σ = 201477899169792. Its totient is φ = 74335752576000.

The previous prime is 130213030332317. The next prime is 130213030332373. The reversal of 130213030332333 is 333233030312031.

It is a happy number.

It is not a de Polignac number, because 130213030332333 - 24 = 130213030332317 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 130213030332333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130213030332373) 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, 403036008 + ... + 403358958.

It is an arithmetic number, because the mean of its divisors is an integer number (2098728116352).

Almost surely, 2130213030332333 is an apocalyptic number.

130213030332333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130213030332333 is a deficient number, since it is larger than the sum of its proper divisors (71264868837459).

130213030332333 is a wasteful number, since it uses less digits than its factorization.

130213030332333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323515 (or 323498 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 30.

Adding to 130213030332333 its reverse (333233030312031), we get a palindrome (463446060644364).

The spelling of 130213030332333 in words is "one hundred thirty trillion, two hundred thirteen billion, thirty million, three hundred thirty-two thousand, three hundred thirty-three".

Divisors: 1 3 13 17 39 51 83 221 249 289 431 663 867 1079 1293 1411 3237 3757 4233 5603 7327 11271 16809 18343 21981 23987 35773 55029 71961 95251 107319 124559 285753 311831 322951 373677 465049 608141 935493 968853 1395147 1619267 1824423 4198363 4857801 5490167 7905833 10338397 12595089 16470501 23717499 26804933 31015191 71372171 80414799 93332839 134399161 139191881 214116513 279998517 348464129 403197483 417575643 455683861 1045392387 1213326907 1367051583 1809494453 2366261977 3639980721 5428483359 5923890193 7098785931 7746625637 11552926123 17771670579 23239876911 30761405701 34658778369 40226453609 92284217103 100706133281 120679360827 150188039599 196399744091 302118399843 450564118797 522943896917 589199232273 1568831690751 2553196673183 3338795649547 7659590019549 10016386948641 43404343444111 130213030332333