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12013001300331 = 3226941161120551
BaseRepresentation
bin1010111011001111111010…
…1011001101100101101011
31120112102122201022120222100
42232303332223031211223
53033310111313102311
641314410245024443
72346624241154133
oct256637653154553
946472581276870
1012013001300331
11391175a068209
1214202499b5123
13691a8a1283c5
142d760a5a5ac3
1515c74452ca56
hexaecfeacd96b

12013001300331 has 24 divisors (see below), whose sum is σ = 17417186598240. Its totient is φ = 7978635504000.

The previous prime is 12013001300299. The next prime is 12013001300353. The reversal of 12013001300331 is 13300310031021.

It is a happy number.

12013001300331 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 30 + 0 + 1 + 300 + 331 = 666.

It is not a de Polignac number, because 12013001300331 - 25 = 12013001300299 is a prime.

It is a super-2 number, since 2×120130013003312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12013001304331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99590506 + ... + 99711056.

It is an arithmetic number, because the mean of its divisors is an integer number (725716108260).

Almost surely, 212013001300331 is an apocalyptic number.

12013001300331 is a deficient number, since it is larger than the sum of its proper divisors (5404185297909).

12013001300331 is a wasteful number, since it uses less digits than its factorization.

12013001300331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161987 (or 161984 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12013001300331 its reverse (13300310031021), we get a palindrome (25313311331352).

The spelling of 12013001300331 in words is "twelve trillion, thirteen billion, one million, three hundred thousand, three hundred thirty-one".

Divisors: 1 3 9 269 807 2421 41161 120551 123483 361653 370449 1084959 11072309 32428219 33216927 97284657 99650781 291853971 4961999711 14885999133 44657997399 1334777922259 4004333766777 12013001300331