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213313101103130 = 257291312351341191
BaseRepresentation
bin110000100000000111010011…
…100111100000000000011010
31000222021112101210002121110212
4300200013103213200000122
5210424410212340300010
62033402404045211122
762634235333464530
oct6040072347400032
91028245353077425
10213313101103130
1161a7163a569aa6
121bb11611b60aa2
139204454086512
143a965a2b14150
15199db6b158505
hexc201d39e001a

213313101103130 has 128 divisors (see below), whose sum is σ = 457608238940160. Its totient is φ = 70044942240000.

The previous prime is 213313101102991. The next prime is 213313101103133. The reversal of 213313101103130 is 31301101313312.

It is a super-2 number, since 2×2133131011031302 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213313101103096 and 213313101103105.

It is not an unprimeable number, because it can be changed into a prime (213313101103133) 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 63 ways as a sum of consecutive naturals, for example, 625030835 + ... + 625372025.

It is an arithmetic number, because the mean of its divisors is an integer number (3575064366720).

Almost surely, 2213313101103130 is an apocalyptic number.

213313101103130 is an abundant number, since it is smaller than the sum of its proper divisors (244295137837030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213313101103130 is a wasteful number, since it uses less digits than its factorization.

213313101103130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343716.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 213313101103130 its reverse (31301101313312), we get a palindrome (244614202416442).

The spelling of 213313101103130 in words is "two hundred thirteen trillion, three hundred thirteen billion, one hundred one million, one hundred three thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 29 35 58 70 131 145 203 262 290 406 655 917 1015 1310 1834 2030 2351 3799 4585 4702 7598 9170 11755 16457 18995 23510 26593 32914 37990 53186 68179 82285 132965 136358 164570 265930 307981 340895 341191 477253 615962 681790 682382 954506 1539905 1705955 2155867 2386265 2388337 3079810 3411910 4311734 4772530 4776674 8931449 9894539 10779335 11941685 17862898 19789078 21558670 23883370 44657245 44696021 49472695 62520143 69261773 89314490 89392042 98945390 125040286 138523546 223480105 312600715 312872147 346308865 446960210 625201430 625744294 692617730 802140041 1296184609 1564360735 1604280082 2592369218 3128721470 4010700205 5614980287 6480923045 8021400410 9073292263 11229960574 12961846090 18146584526 23262061189 28074901435 45366461315 46524122378 56149802870 90732922630 105080345371 116310305945 162834428323 210160690742 232620611890 325668856646 525401726855 735562417597 814172141615 1050803453710 1471124835194 1628344283230 3047330015759 3677812087985 6094660031518 7355624175970 15236650078795 21331310110313 30473300157590 42662620220626 106656550551565 213313101103130