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101313010333 is a prime number
BaseRepresentation
bin101111001011010111…
…0011101101010011101
3100200111200022011211001
41132112232131222131
53124442112312313
6114313105230301
710214426243653
oct1362656355235
9320450264731
10101313010333
1139a6a60a207
1217775632391
139727851532
144c915aadd3
15297e649add
hex1796b9da9d

101313010333 has 2 divisors, whose sum is σ = 101313010334. Its totient is φ = 101313010332.

The previous prime is 101313010289. The next prime is 101313010363. The reversal of 101313010333 is 333010313101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90419287204 + 10893723129 = 300698^2 + 104373^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101313010333 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101313010333.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101313010363) 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, 50656505166 + 50656505167.

It is an arithmetic number, because the mean of its divisors is an integer number (50656505167).

Almost surely, 2101313010333 is an apocalyptic number.

It is an amenable number.

101313010333 is a deficient number, since it is larger than the sum of its proper divisors (1).

101313010333 is an equidigital number, since it uses as much as digits as its factorization.

101313010333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 101313010333 its reverse (333010313101), we get a palindrome (434323323434).

The spelling of 101313010333 in words is "one hundred one billion, three hundred thirteen million, ten thousand, three hundred thirty-three".