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101113342013 is a prime number
BaseRepresentation
bin101111000101011010…
…0110010100000111101
3100122222202120222101002
41132022310302200331
53124040003421023
6114241213500045
710206453140405
oct1361264624075
9318882528332
10101113342013
1139977933472
121771a7a1625
1396c53821b8
144c72c73805
15296bd58b28
hex178ad3283d

101113342013 has 2 divisors, whose sum is σ = 101113342014. Its totient is φ = 101113342012.

The previous prime is 101113341991. The next prime is 101113342019. The reversal of 101113342013 is 310243311101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54129744964 + 46983597049 = 232658^2 + 216757^2 .

It is a cyclic number.

It is not a de Polignac number, because 101113342013 - 26 = 101113341949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101113342019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556671006 + 50556671007.

It is an arithmetic number, because the mean of its divisors is an integer number (50556671007).

Almost surely, 2101113342013 is an apocalyptic number.

It is an amenable number.

101113342013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101113342013 is an equidigital number, since it uses as much as digits as its factorization.

101113342013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101113342013 its reverse (310243311101), we get a palindrome (411356653114).

The spelling of 101113342013 in words is "one hundred one billion, one hundred thirteen million, three hundred forty-two thousand, thirteen".