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131112000301 is a prime number
BaseRepresentation
bin111101000011011100…
…0100101101100101101
3110112102102100201021011
41322012320211230231
54122004133002201
6140122041105221
712321035420512
oct1720670455455
9415372321234
10131112000301
1150671340447
12214b1188211
13c496397689
1464bb04d309
1536257ba151
hex1e86e25b2d

131112000301 has 2 divisors, whose sum is σ = 131112000302. Its totient is φ = 131112000300.

The previous prime is 131112000293. The next prime is 131112000329. The reversal of 131112000301 is 103000211131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107449562025 + 23662438276 = 327795^2 + 153826^2 .

It is a cyclic number.

It is not a de Polignac number, because 131112000301 - 23 = 131112000293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131112000391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65556000150 + 65556000151.

It is an arithmetic number, because the mean of its divisors is an integer number (65556000151).

Almost surely, 2131112000301 is an apocalyptic number.

It is an amenable number.

131112000301 is a deficient number, since it is larger than the sum of its proper divisors (1).

131112000301 is an equidigital number, since it uses as much as digits as its factorization.

131112000301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 131112000301 its reverse (103000211131), we get a palindrome (234112211432).

The spelling of 131112000301 in words is "one hundred thirty-one billion, one hundred twelve million, three hundred one", and thus it is an aban number.