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300101131013 is a prime number
BaseRepresentation
bin1000101110111110110…
…10111101101100000101
31001200121120020000102012
410113133122331230011
514404101342143023
6345510424424005
730452533345055
oct4273732755405
91050546200365
10300101131013
111062aa2a0552
124a1b3318005
13223b7a7a148
141074c749565
157c164d8978
hex45df6bdb05

300101131013 has 2 divisors, whose sum is σ = 300101131014. Its totient is φ = 300101131012.

The previous prime is 300101130961. The next prime is 300101131079. The reversal of 300101131013 is 310131101003.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 226455112129 + 73646018884 = 475873^2 + 271378^2 .

It is a cyclic number.

It is not a de Polignac number, because 300101131013 - 212 = 300101126917 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300101130013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150050565506 + 150050565507.

It is an arithmetic number, because the mean of its divisors is an integer number (150050565507).

Almost surely, 2300101131013 is an apocalyptic number.

It is an amenable number.

300101131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

300101131013 is an equidigital number, since it uses as much as digits as its factorization.

300101131013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 300101131013 its reverse (310131101003), we get a palindrome (610232232016).

The spelling of 300101131013 in words is "three hundred billion, one hundred one million, one hundred thirty-one thousand, thirteen".