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101314331213 is a prime number
BaseRepresentation
bin101111001011011001…
…1100000001001001101
3100200111202210021201112
41132112303200021031
53124442432044323
6114313153421405
710214443414634
oct1362663401115
9320452707645
10101314331213
1139a70331647
1217775b6a865
139727bc4814
144c9183251b
15297e80b178
hex1796ce024d

101314331213 has 2 divisors, whose sum is σ = 101314331214. Its totient is φ = 101314331212.

The previous prime is 101314331207. The next prime is 101314331221. The reversal of 101314331213 is 312133413101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95959311529 + 5355019684 = 309773^2 + 73178^2 .

It is a cyclic number.

It is not a de Polignac number, because 101314331213 - 210 = 101314330189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101314330213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50657165606 + 50657165607.

It is an arithmetic number, because the mean of its divisors is an integer number (50657165607).

Almost surely, 2101314331213 is an apocalyptic number.

It is an amenable number.

101314331213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101314331213 is an equidigital number, since it uses as much as digits as its factorization.

101314331213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 101314331213 its reverse (312133413101), we get a palindrome (413447744314).

The spelling of 101314331213 in words is "one hundred one billion, three hundred fourteen million, three hundred thirty-one thousand, two hundred thirteen".