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131413441213201 = 7295389112012337
BaseRepresentation
bin11101111000010100010011…
…011110110111001100010001
3122020022000001200000110102211
4131320110103132313030101
5114211034211422310301
61143254300152312121
736452210402611150
oct3570242336671421
9566260050013384
10131413441213201
1138966144694984
12128a497b6a2641
135843307aa2144
142464631985597
15102d572760051
hex7785137b7311

131413441213201 has 16 divisors (see below), whose sum is σ = 155368540679040. Its totient is φ = 108753924222720.

The previous prime is 131413441213189. The next prime is 131413441213231. The reversal of 131413441213201 is 102312144314131.

It is not a de Polignac number, because 131413441213201 - 25 = 131413441213169 is a prime.

It is a super-2 number, since 2×1314134412132012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131413441213231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4933705 + ... + 16946041.

It is an arithmetic number, because the mean of its divisors is an integer number (9710533792440).

Almost surely, 2131413441213201 is an apocalyptic number.

It is an amenable number.

131413441213201 is a deficient number, since it is larger than the sum of its proper divisors (23955099465839).

131413441213201 is a wasteful number, since it uses less digits than its factorization.

131413441213201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12066264.

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 131413441213201 its reverse (102312144314131), we get a palindrome (233725585527332).

The spelling of 131413441213201 in words is "one hundred thirty-one trillion, four hundred thirteen billion, four hundred forty-one million, two hundred thirteen thousand, two hundred one".

Divisors: 1 7 29 203 53891 377237 1562839 10939873 12012337 84086359 348357773 2438504411 647356853267 4531497972869 18773348744743 131413441213201