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13001313330 = 2325212967853
BaseRepresentation
bin11000001101111000…
…00100110000110010
31020120002021011000100
430012330010300302
5203111314011310
65550035133230
7640120224405
oct140674046062
936502234010
1013001313330
1155719a2155
12262a144216
1312c2741715
148b49cbd3c
15511610ec0
hex306f04c32

13001313330 has 48 divisors (see below), whose sum is σ = 33819790680. Its totient is φ = 3465337344.

The previous prime is 13001313317. The next prime is 13001313361. The reversal of 13001313330 is 3331310031.

13001313330 is a `hidden beast` number, since 1 + 300 + 1 + 31 + 3 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10638478449 + 2362834881 = 103143^2 + 48609^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157684 + ... + 225536.

Almost surely, 213001313330 is an apocalyptic number.

13001313330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13001313330 is an abundant number, since it is smaller than the sum of its proper divisors (20818477350).

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

13001313330 is a wasteful number, since it uses less digits than its factorization.

13001313330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69995 (or 69992 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13001313330 its reverse (3331310031), we get a palindrome (16332623361).

The spelling of 13001313330 in words is "thirteen billion, one million, three hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2129 4258 6387 10645 12774 19161 21290 31935 38322 63870 67853 95805 135706 191610 203559 339265 407118 610677 678530 1017795 1221354 2035590 3053385 6106770 144459037 288918074 433377111 722295185 866754222 1300131333 1444590370 2166885555 2600262666 4333771110 6500656665 13001313330