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13213311330 = 2354313817417
BaseRepresentation
bin11000100111001001…
…10010000101100010
31021002212011202121010
430103210302011202
5204030101430310
610023051041350
7645303202362
oct142344620542
937085152533
1013213311330
11567062a40a
122689140256
131327639b1b
148d4c149a2
1552503a320
hex313932162

13213311330 has 64 divisors (see below), whose sum is σ = 32477309568. Its totient is φ = 3438650880.

The previous prime is 13213311317. The next prime is 13213311347. The reversal of 13213311330 is 3311331231.

It is a junction number, because it is equal to n+sod(n) for n = 13213311297 and 13213311306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1777782 + ... + 1785198.

It is an arithmetic number, because the mean of its divisors is an integer number (507457962).

Almost surely, 213213311330 is an apocalyptic number.

13213311330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13213311330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16238654784).

13213311330 is an abundant number, since it is smaller than the sum of its proper divisors (19263998238).

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

13213311330 is a wasteful number, since it uses less digits than its factorization.

13213311330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8851.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13213311330 its reverse (3311331231), we get a palindrome (16524642561).

The spelling of 13213311330 in words is "thirteen billion, two hundred thirteen million, three hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1290 1381 2762 4143 6905 7417 8286 13810 14834 20715 22251 37085 41430 44502 59383 74170 111255 118766 178149 222510 296915 318931 356298 593830 637862 890745 956793 1594655 1781490 1913586 3189310 4783965 9567930 10242877 20485754 30728631 51214385 61457262 102428770 153643155 307286310 440443711 880887422 1321331133 2202218555 2642662266 4404437110 6606655665 13213311330