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1313102213332 = 2271341311282913
BaseRepresentation
bin10011000110111010111…
…111011011000011010100
311122112100100110212000121
4103012322333123003110
5133003213131311312
62443121505321324
7163603616440150
oct23067277330324
94575310425017
101313102213332
11466979a6aa78
121925a3336244
1396a957061b0
14477a9720060
1524254317707
hex131bafdb0d4

1313102213332 has 96 divisors (see below), whose sum is σ = 2906527163904. Its totient is φ = 505167667200.

The previous prime is 1313102213329. The next prime is 1313102213359. The reversal of 1313102213332 is 2333122013131.

It is a junction number, because it is equal to n+sod(n) for n = 1313102213297 and 1313102213306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4499908 + ... + 4782820.

It is an arithmetic number, because the mean of its divisors is an integer number (30276324624).

Almost surely, 21313102213332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313102213332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453263581952).

1313102213332 is an abundant number, since it is smaller than the sum of its proper divisors (1593424950572).

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

1313102213332 is a wasteful number, since it uses less digits than its factorization.

1313102213332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283289 (or 283287 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 1313102213332 its reverse (2333122013131), we get a palindrome (3646224226463).

The spelling of 1313102213332 in words is "one trillion, three hundred thirteen billion, one hundred two million, two hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 182 287 311 364 533 574 622 1066 1148 1244 2132 2177 3731 4043 4354 7462 8086 8708 12751 14924 16172 25502 28301 51004 56602 89257 113204 165763 178514 282913 331526 357028 565826 663052 1131652 1160341 1980391 2320682 3677869 3960782 4641364 7355738 7921564 11599433 14711476 23198866 25745083 46397732 51490166 81196031 87985943 102980332 150792629 162392062 175971886 301585258 324784124 351943772 603170516 615901601 1055548403 1143817259 1231803202 2111096806 2287634518 2463606404 3607423663 4222193612 4575269036 7214847326 8006720813 14429694652 16013441626 25251965641 32026883252 46896507619 50503931282 93793015238 101007862564 187586030476 328275553333 656551106666 1313102213332