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12131313020201 = 3147101306726879
BaseRepresentation
bin1011000010001000101010…
…0110100110110100101001
31120221202001001200200112002
42300202022212212310221
53042224412113121301
641445014231500345
72361313150166054
oct260421246466451
946852031620462
1012131313020201
113957951a344a1
12143b1682276b5
1369cc9360a83b
142dd2315d7a9b
1516086b19716b
hexb088a9a6d29

12131313020201 has 32 divisors (see below), whose sum is σ = 12920401428480. Its totient is φ = 11372296824000.

The previous prime is 12131313020173. The next prime is 12131313020213. The reversal of 12131313020201 is 10202031313121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12131313020201 - 222 = 12131308825897 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12131313020501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451317080 + ... + 451343958.

It is an arithmetic number, because the mean of its divisors is an integer number (403762544640).

Almost surely, 212131313020201 is an apocalyptic number.

It is an amenable number.

12131313020201 is a deficient number, since it is larger than the sum of its proper divisors (789088408279).

12131313020201 is a wasteful number, since it uses less digits than its factorization.

12131313020201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30125.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12131313020201 its reverse (10202031313121), we get a palindrome (22333344333322).

The spelling of 12131313020201 in words is "twelve trillion, one hundred thirty-one billion, three hundred thirteen million, twenty thousand, two hundred one".

Divisors: 1 31 47 101 1457 3067 3131 4747 26879 95077 144149 147157 309767 833249 1263313 2714779 4468619 9602777 14559049 39162703 82437893 84158149 127594613 451330519 2555574683 3874580971 3955433003 8326227193 120112010101 258113042983 391332678071 12131313020201