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131113323101 is a prime number
BaseRepresentation
bin111101000011011110…
…1101000101001011101
3110112102111211220210202
41322012331220221131
54122010002314401
6140122125313245
712321052600205
oct1720675505135
9415374756722
10131113323101
1150672064272
12214b1705825
13c49673b7b7
1464bb2b5405
15362597c06b
hex1e86f68a5d

131113323101 has 2 divisors, whose sum is σ = 131113323102. Its totient is φ = 131113323100.

The previous prime is 131113323091. The next prime is 131113323151. The reversal of 131113323101 is 101323311131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130082848900 + 1030474201 = 360670^2 + 32101^2 .

It is a cyclic number.

It is not a de Polignac number, because 131113323101 - 210 = 131113322077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131113323151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65556661550 + 65556661551.

It is an arithmetic number, because the mean of its divisors is an integer number (65556661551).

Almost surely, 2131113323101 is an apocalyptic number.

It is an amenable number.

131113323101 is a deficient number, since it is larger than the sum of its proper divisors (1).

131113323101 is an equidigital number, since it uses as much as digits as its factorization.

131113323101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 131113323101 its reverse (101323311131), we get a palindrome (232436634232).

The spelling of 131113323101 in words is "one hundred thirty-one billion, one hundred thirteen million, three hundred twenty-three thousand, one hundred one".