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13321301331132 = 2232743498029809
BaseRepresentation
bin1100000111011001101101…
…1011110000110010111100
31202011111121101122021222200
43001312123123300302330
53221224011120044012
644155415451111500
72543301160014204
oct301663333606274
952144541567880
1013321301331132
114276594352393
1215b1910a42590
13758268974772
14340a7c1d9404
151817b6e663dc
hexc1d9b6f0cbc

13321301331132 has 36 divisors (see below), whose sum is σ = 33718610256240. Its totient is φ = 4434457410432.

The previous prime is 13321301331113. The next prime is 13321301331137. The reversal of 13321301331132 is 23113310312331.

13321301331132 is a `hidden beast` number, since 1 + 3 + 3 + 21 + 301 + 331 + 1 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×133213013311322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13321301331096 and 13321301331105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321301331137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248988157 + ... + 249041652.

Almost surely, 213321301331132 is an apocalyptic number.

13321301331132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13321301331132 is an abundant number, since it is smaller than the sum of its proper divisors (20397308925108).

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

13321301331132 is a wasteful number, since it uses less digits than its factorization.

13321301331132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498030562 (or 498030557 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13321301331132 its reverse (23113310312331), we get a palindrome (36434611643463).

The spelling of 13321301331132 in words is "thirteen trillion, three hundred twenty-one billion, three hundred one million, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 743 1486 2229 2972 4458 6687 8916 13374 26748 498029809 996059618 1494089427 1992119236 2988178854 4482268281 5976357708 8964536562 17929073124 370036148087 740072296174 1110108444261 1480144592348 2220216888522 3330325332783 4440433777044 6660650665566 13321301331132