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1313121212021 is a prime number
BaseRepresentation
bin10011000110111100000…
…111111001011001110101
311122112101200020002022202
4103012330013321121311
5133003233012241041
62443123424434245
7163604240066003
oct23067407713165
94575350202282
101313121212021
11466989766a73
121925a9778985
1396a99628918
14477ac067a73
1524255d1ba9b
hex131bc1f9675

1313121212021 has 2 divisors, whose sum is σ = 1313121212022. Its totient is φ = 1313121212020.

The previous prime is 1313121212009. The next prime is 1313121212059. The reversal of 1313121212021 is 1202121213131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1142728930225 + 170392281796 = 1068985^2 + 412786^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313121212021 - 26 = 1313121211957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313121211984 and 1313121212002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1313121211021) 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, 656560606010 + 656560606011.

It is an arithmetic number, because the mean of its divisors is an integer number (656560606011).

Almost surely, 21313121212021 is an apocalyptic number.

It is an amenable number.

1313121212021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313121212021 is an equidigital number, since it uses as much as digits as its factorization.

1313121212021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1313121212021 its reverse (1202121213131), we get a palindrome (2515242425152).

The spelling of 1313121212021 in words is "one trillion, three hundred thirteen billion, one hundred twenty-one million, two hundred twelve thousand, twenty-one".