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131131112321 = 1122047952919
BaseRepresentation
bin111101000100000000…
…1011111101110000001
3110112110202022201000202
41322020001133232001
54122024031043241
6140124002454545
712321360030626
oct1721001375601
9415422281022
10131131112321
1150681104600
12214b7664455
13c49a329871
1464bd7c634d
1536272e2d9b
hex1e8805fb81

131131112321 has 12 divisors (see below), whose sum is σ = 144145612800. Its totient is φ = 119202028440.

The previous prime is 131131112317. The next prime is 131131112339. The reversal of 131131112321 is 123211131131.

It is not a de Polignac number, because 131131112321 - 22 = 131131112317 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131131112293 and 131131112302.

It is not an unprimeable number, because it can be changed into a prime (131131112381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2451500 + ... + 2504418.

It is an arithmetic number, because the mean of its divisors is an integer number (12012134400).

Almost surely, 2131131112321 is an apocalyptic number.

131131112321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131131112321 is a deficient number, since it is larger than the sum of its proper divisors (13014500479).

131131112321 is a wasteful number, since it uses less digits than its factorization.

131131112321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73420 (or 73409 counting only the distinct ones).

The product of its digits is 108, while the sum is 20.

Adding to 131131112321 its reverse (123211131131), we get a palindrome (254342243452).

The spelling of 131131112321 in words is "one hundred thirty-one billion, one hundred thirty-one million, one hundred twelve thousand, three hundred twenty-one".

Divisors: 1 11 121 20479 52919 225269 582109 2477959 6403199 1083728201 11921010211 131131112321